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Finding the Fourth Proportional to 258,333.12, 387,470.88 and 89,824.32

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Solution

The fourth proportional to 258,333.12, 387,470.88 and 89,824.32 is: 134,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,333.12 : 387,470.88 = 89,824.32 : x
  2. Step 2: Convert to fraction form
    258,333.12/387,470.88 = 89,824.32/x
  3. Step 3: Cross multiply
    258,333.12x = 387,470.88 × 89,824.32
  4. Step 4: Simplify right side
    258,333.12x = 34,804,308,315.80
  5. Step 5: Solve for x
    x = 34,804,308,315.80/258,333.12
  6. Step 6: Final answer
    x = 134,726.47

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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.