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Finding the Fourth Proportional to 429,064.70, 643,601.70 and 129,547.76

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Solution

The fourth proportional to 429,064.70, 643,601.70 and 129,547.76 is: 194,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,064.70 : 643,601.70 = 129,547.76 : x
  2. Step 2: Convert to fraction form
    429,064.70/643,601.70 = 129,547.76/x
  3. Step 3: Cross multiply
    429,064.70x = 643,601.70 × 129,547.76
  4. Step 4: Simplify right side
    429,064.70x = 83,377,155,349.18
  5. Step 5: Solve for x
    x = 83,377,155,349.18/429,064.70
  6. Step 6: Final answer
    x = 194,323.04

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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.