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Finding the Fourth Proportional to 497,319.70, 745,979.55 and 442,207.30

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Solution

The fourth proportional to 497,319.70, 745,979.55 and 442,207.30 is: 663,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,319.70 : 745,979.55 = 442,207.30 : x
  2. Step 2: Convert to fraction form
    497,319.70/745,979.55 = 442,207.30/x
  3. Step 3: Cross multiply
    497,319.70x = 745,979.55 × 442,207.30
  4. Step 4: Simplify right side
    497,319.70x = 329,877,602,660.72
  5. Step 5: Solve for x
    x = 329,877,602,660.72/497,319.70
  6. Step 6: Final answer
    x = 663,310.95

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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.