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Finding the Fourth Proportional to 258,406.31, 356,506.25 and 156,394.71

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Solution

The fourth proportional to 258,406.31, 356,506.25 and 156,394.71 is: 215,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,406.31 : 356,506.25 = 156,394.71 : x
  2. Step 2: Convert to fraction form
    258,406.31/356,506.25 = 156,394.71/x
  3. Step 3: Cross multiply
    258,406.31x = 356,506.25 × 156,394.71
  4. Step 4: Simplify right side
    258,406.31x = 55,755,690,799.96
  5. Step 5: Solve for x
    x = 55,755,690,799.96/258,406.31
  6. Step 6: Final answer
    x = 215,767.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.