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Finding the Fourth Proportional to 458,246, 687,425.16 and 142,652.72

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Solution

The fourth proportional to 458,246, 687,425.16 and 142,652.72 is: 213,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,246 : 687,425.16 = 142,652.72 : x
  2. Step 2: Convert to fraction form
    458,246/687,425.16 = 142,652.72/x
  3. Step 3: Cross multiply
    458,246x = 687,425.16 × 142,652.72
  4. Step 4: Simplify right side
    458,246x = 98,063,068,870.44
  5. Step 5: Solve for x
    x = 98,063,068,870.44/458,246
  6. Step 6: Final answer
    x = 213,996.56

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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.