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Finding the Fourth Proportional to 429,451.74, 643,691.61 and 218,644.38

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Solution

The fourth proportional to 429,451.74, 643,691.61 and 218,644.38 is: 327,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,451.74 : 643,691.61 = 218,644.38 : x
  2. Step 2: Convert to fraction form
    429,451.74/643,691.61 = 218,644.38/x
  3. Step 3: Cross multiply
    429,451.74x = 643,691.61 × 218,644.38
  4. Step 4: Simplify right side
    429,451.74x = 140,739,552,979.65
  5. Step 5: Solve for x
    x = 140,739,552,979.65/429,451.74
  6. Step 6: Final answer
    x = 327,719.14

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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.