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Finding the Fourth Proportional to 442,081.13, 663,251.07 and 142,555.68

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Solution

The fourth proportional to 442,081.13, 663,251.07 and 142,555.68 is: 213,875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,081.13 : 663,251.07 = 142,555.68 : x
  2. Step 2: Convert to fraction form
    442,081.13/663,251.07 = 142,555.68/x
  3. Step 3: Cross multiply
    442,081.13x = 663,251.07 × 142,555.68
  4. Step 4: Simplify right side
    442,081.13x = 94,550,207,294.58
  5. Step 5: Solve for x
    x = 94,550,207,294.58/442,081.13
  6. Step 6: Final answer
    x = 213,875.24

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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.