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Finding the Fourth Proportional to 458,657.64, 687,194.28 and 248,443.20

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Solution

The fourth proportional to 458,657.64, 687,194.28 and 248,443.20 is: 372,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,657.64 : 687,194.28 = 248,443.20 : x
  2. Step 2: Convert to fraction form
    458,657.64/687,194.28 = 248,443.20/x
  3. Step 3: Cross multiply
    458,657.64x = 687,194.28 × 248,443.20
  4. Step 4: Simplify right side
    458,657.64x = 170,728,745,944.90
  5. Step 5: Solve for x
    x = 170,728,745,944.90/458,657.64
  6. Step 6: Final answer
    x = 372,235.70

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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.