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Finding the Fourth Proportional to 526,324.75, 726,284.01 and 311,427.16

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Solution

The fourth proportional to 526,324.75, 726,284.01 and 311,427.16 is: 429,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,324.75 : 726,284.01 = 311,427.16 : x
  2. Step 2: Convert to fraction form
    526,324.75/726,284.01 = 311,427.16/x
  3. Step 3: Cross multiply
    526,324.75x = 726,284.01 × 311,427.16
  4. Step 4: Simplify right side
    526,324.75x = 226,184,566,587.71
  5. Step 5: Solve for x
    x = 226,184,566,587.71/526,324.75
  6. Step 6: Final answer
    x = 429,743.36

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.