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Finding the Fourth Proportional to 387,407.29, 581,166.38 and 187,563.61

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Solution

The fourth proportional to 387,407.29, 581,166.38 and 187,563.61 is: 281,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,407.29 : 581,166.38 = 187,563.61 : x
  2. Step 2: Convert to fraction form
    387,407.29/581,166.38 = 187,563.61/x
  3. Step 3: Cross multiply
    387,407.29x = 581,166.38 × 187,563.61
  4. Step 4: Simplify right side
    387,407.29x = 109,005,663,305.61
  5. Step 5: Solve for x
    x = 109,005,663,305.61/387,407.29
  6. Step 6: Final answer
    x = 281,372.26

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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.