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Finding the Fourth Proportional to 442,042.68, 663,068.64 and 353,856.78

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Solution

The fourth proportional to 442,042.68, 663,068.64 and 353,856.78 is: 530,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,042.68 : 663,068.64 = 353,856.78 : x
  2. Step 2: Convert to fraction form
    442,042.68/663,068.64 = 353,856.78/x
  3. Step 3: Cross multiply
    442,042.68x = 663,068.64 × 353,856.78
  4. Step 4: Simplify right side
    442,042.68x = 234,631,333,869.38
  5. Step 5: Solve for x
    x = 234,631,333,869.38/442,042.68
  6. Step 6: Final answer
    x = 530,788.87

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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.