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Finding the Fourth Proportional to 458,419.32, 687,473.24 and 158,829.95

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Solution

The fourth proportional to 458,419.32, 687,473.24 and 158,829.95 is: 238,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,419.32 : 687,473.24 = 158,829.95 : x
  2. Step 2: Convert to fraction form
    458,419.32/687,473.24 = 158,829.95/x
  3. Step 3: Cross multiply
    458,419.32x = 687,473.24 × 158,829.95
  4. Step 4: Simplify right side
    458,419.32x = 109,191,336,104.02
  5. Step 5: Solve for x
    x = 109,191,336,104.02/458,419.32
  6. Step 6: Final answer
    x = 238,190.96

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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.