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Finding the Fourth Proportional to 429,472.91, 643,944.65 and 145,136.64

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Solution

The fourth proportional to 429,472.91, 643,944.65 and 145,136.64 is: 217,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,472.91 : 643,944.65 = 145,136.64 : x
  2. Step 2: Convert to fraction form
    429,472.91/643,944.65 = 145,136.64/x
  3. Step 3: Cross multiply
    429,472.91x = 643,944.65 × 145,136.64
  4. Step 4: Simplify right side
    429,472.91x = 93,459,962,121.29
  5. Step 5: Solve for x
    x = 93,459,962,121.29/429,472.91
  6. Step 6: Final answer
    x = 217,615.50

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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.