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Finding the Fourth Proportional to 258,382.32, 387,233.28 and 138,425.37

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Solution

The fourth proportional to 258,382.32, 387,233.28 and 138,425.37 is: 207,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,382.32 : 387,233.28 = 138,425.37 : x
  2. Step 2: Convert to fraction form
    258,382.32/387,233.28 = 138,425.37/x
  3. Step 3: Cross multiply
    258,382.32x = 387,233.28 × 138,425.37
  4. Step 4: Simplify right side
    258,382.32x = 53,602,910,060.31
  5. Step 5: Solve for x
    x = 53,602,910,060.31/258,382.32
  6. Step 6: Final answer
    x = 207,455.80

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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.