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Finding the Fourth Proportional to 258,433.92, 387,658.16 and 71,445.40

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Solution

The fourth proportional to 258,433.92, 387,658.16 and 71,445.40 is: 107,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,433.92 : 387,658.16 = 71,445.40 : x
  2. Step 2: Convert to fraction form
    258,433.92/387,658.16 = 71,445.40/x
  3. Step 3: Cross multiply
    258,433.92x = 387,658.16 × 71,445.40
  4. Step 4: Simplify right side
    258,433.92x = 27,696,392,304.46
  5. Step 5: Solve for x
    x = 27,696,392,304.46/258,433.92
  6. Step 6: Final answer
    x = 107,170.11

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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.