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Finding the Fourth Proportional to 258,409.95, 387,456.17 and 100,454.28

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Solution

The fourth proportional to 258,409.95, 387,456.17 and 100,454.28 is: 150,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,409.95 : 387,456.17 = 100,454.28 : x
  2. Step 2: Convert to fraction form
    258,409.95/387,456.17 = 100,454.28/x
  3. Step 3: Cross multiply
    258,409.95x = 387,456.17 × 100,454.28
  4. Step 4: Simplify right side
    258,409.95x = 38,921,630,086.64
  5. Step 5: Solve for x
    x = 38,921,630,086.64/258,409.95
  6. Step 6: Final answer
    x = 150,619.70

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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.