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Finding the Fourth Proportional to 477,728.28, 716,476.68 and 140,677.20

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Solution

The fourth proportional to 477,728.28, 716,476.68 and 140,677.20 is: 210,981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,728.28 : 716,476.68 = 140,677.20 : x
  2. Step 2: Convert to fraction form
    477,728.28/716,476.68 = 140,677.20/x
  3. Step 3: Cross multiply
    477,728.28x = 716,476.68 × 140,677.20
  4. Step 4: Simplify right side
    477,728.28x = 100,791,933,207.70
  5. Step 5: Solve for x
    x = 100,791,933,207.70/477,728.28
  6. Step 6: Final answer
    x = 210,981.72

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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.