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Finding the Fourth Proportional to 429,635.75, 643,472.48 and 205,154.21

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Solution

The fourth proportional to 429,635.75, 643,472.48 and 205,154.21 is: 307,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,635.75 : 643,472.48 = 205,154.21 : x
  2. Step 2: Convert to fraction form
    429,635.75/643,472.48 = 205,154.21/x
  3. Step 3: Cross multiply
    429,635.75x = 643,472.48 × 205,154.21
  4. Step 4: Simplify right side
    429,635.75x = 132,011,088,874.05
  5. Step 5: Solve for x
    x = 132,011,088,874.05/429,635.75
  6. Step 6: Final answer
    x = 307,262.81

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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.