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Finding the Fourth Proportional to 429,064.25, 643,700.39 and 129,526.92

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Solution

The fourth proportional to 429,064.25, 643,700.39 and 129,526.92 is: 194,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,064.25 : 643,700.39 = 129,526.92 : x
  2. Step 2: Convert to fraction form
    429,064.25/643,700.39 = 129,526.92/x
  3. Step 3: Cross multiply
    429,064.25x = 643,700.39 × 129,526.92
  4. Step 4: Simplify right side
    429,064.25x = 83,376,528,271.86
  5. Step 5: Solve for x
    x = 83,376,528,271.86/429,064.25
  6. Step 6: Final answer
    x = 194,321.78

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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.