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Finding the Fourth Proportional to 343,812.51, 516,058.17 and 258,125.34

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Solution

The fourth proportional to 343,812.51, 516,058.17 and 258,125.34 is: 387,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,812.51 : 516,058.17 = 258,125.34 : x
  2. Step 2: Convert to fraction form
    343,812.51/516,058.17 = 258,125.34/x
  3. Step 3: Cross multiply
    343,812.51x = 516,058.17 × 258,125.34
  4. Step 4: Simplify right side
    343,812.51x = 133,207,690,591.03
  5. Step 5: Solve for x
    x = 133,207,690,591.03/343,812.51
  6. Step 6: Final answer
    x = 387,442.83

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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.