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Finding the Fourth Proportional to 547,643.40, 821,465.10 and 311,447.40

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Solution

The fourth proportional to 547,643.40, 821,465.10 and 311,447.40 is: 467,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,643.40 : 821,465.10 = 311,447.40 : x
  2. Step 2: Convert to fraction form
    547,643.40/821,465.10 = 311,447.40/x
  3. Step 3: Cross multiply
    547,643.40x = 821,465.10 × 311,447.40
  4. Step 4: Simplify right side
    547,643.40x = 255,843,169,585.74
  5. Step 5: Solve for x
    x = 255,843,169,585.74/547,643.40
  6. Step 6: Final answer
    x = 467,171.10

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.