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Finding the Fourth Proportional to 258,437.34, 387,895.89 and 132,167.82

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Solution

The fourth proportional to 258,437.34, 387,895.89 and 132,167.82 is: 198,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,437.34 : 387,895.89 = 132,167.82 : x
  2. Step 2: Convert to fraction form
    258,437.34/387,895.89 = 132,167.82/x
  3. Step 3: Cross multiply
    258,437.34x = 387,895.89 × 132,167.82
  4. Step 4: Simplify right side
    258,437.34x = 51,267,354,168.26
  5. Step 5: Solve for x
    x = 51,267,354,168.26/258,437.34
  6. Step 6: Final answer
    x = 198,374.41

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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.