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Finding the Fourth Proportional to 487,817.65, 731,305.96 and 188,508.25

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Solution

The fourth proportional to 487,817.65, 731,305.96 and 188,508.25 is: 282,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,817.65 : 731,305.96 = 188,508.25 : x
  2. Step 2: Convert to fraction form
    487,817.65/731,305.96 = 188,508.25/x
  3. Step 3: Cross multiply
    487,817.65x = 731,305.96 × 188,508.25
  4. Step 4: Simplify right side
    487,817.65x = 137,857,206,734.17
  5. Step 5: Solve for x
    x = 137,857,206,734.17/487,817.65
  6. Step 6: Final answer
    x = 282,599.87

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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.