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Finding the Fourth Proportional to 632,253.71, 947,410.99 and 429,591.71

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Solution

The fourth proportional to 632,253.71, 947,410.99 and 429,591.71 is: 643,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,253.71 : 947,410.99 = 429,591.71 : x
  2. Step 2: Convert to fraction form
    632,253.71/947,410.99 = 429,591.71/x
  3. Step 3: Cross multiply
    632,253.71x = 947,410.99 × 429,591.71
  4. Step 4: Simplify right side
    632,253.71x = 406,999,907,266.89
  5. Step 5: Solve for x
    x = 406,999,907,266.89/632,253.71
  6. Step 6: Final answer
    x = 643,728.78

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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.