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Finding the Fourth Proportional to 566,074.80, 781,155 and 311,419.44

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Solution

The fourth proportional to 566,074.80, 781,155 and 311,419.44 is: 429,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,074.80 : 781,155 = 311,419.44 : x
  2. Step 2: Convert to fraction form
    566,074.80/781,155 = 311,419.44/x
  3. Step 3: Cross multiply
    566,074.80x = 781,155 × 311,419.44
  4. Step 4: Simplify right side
    566,074.80x = 243,266,852,653.20
  5. Step 5: Solve for x
    x = 243,266,852,653.20/566,074.80
  6. Step 6: Final answer
    x = 429,743.30

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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.