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Finding the Fourth Proportional to 387,746.30, 581,712.24 and 187,833

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Solution

The fourth proportional to 387,746.30, 581,712.24 and 187,833 is: 281,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,746.30 : 581,712.24 = 187,833 : x
  2. Step 2: Convert to fraction form
    387,746.30/581,712.24 = 187,833/x
  3. Step 3: Cross multiply
    387,746.30x = 581,712.24 × 187,833
  4. Step 4: Simplify right side
    387,746.30x = 109,264,755,175.92
  5. Step 5: Solve for x
    x = 109,264,755,175.92/387,746.30
  6. Step 6: Final answer
    x = 281,794.45

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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.