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Finding the Fourth Proportional to 258,412.53, 387,618.80 and 80,933.43

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Solution

The fourth proportional to 258,412.53, 387,618.80 and 80,933.43 is: 121,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,412.53 : 387,618.80 = 80,933.43 : x
  2. Step 2: Convert to fraction form
    258,412.53/387,618.80 = 80,933.43/x
  3. Step 3: Cross multiply
    258,412.53x = 387,618.80 × 80,933.43
  4. Step 4: Simplify right side
    258,412.53x = 31,371,319,016.48
  5. Step 5: Solve for x
    x = 31,371,319,016.48/258,412.53
  6. Step 6: Final answer
    x = 121,400.15

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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.