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Finding the Fourth Proportional to 458,580.90, 687,288.15 and 408,425.70

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Solution

The fourth proportional to 458,580.90, 687,288.15 and 408,425.70 is: 612,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,580.90 : 687,288.15 = 408,425.70 : x
  2. Step 2: Convert to fraction form
    458,580.90/687,288.15 = 408,425.70/x
  3. Step 3: Cross multiply
    458,580.90x = 687,288.15 × 408,425.70
  4. Step 4: Simplify right side
    458,580.90x = 280,706,143,765.46
  5. Step 5: Solve for x
    x = 280,706,143,765.46/458,580.90
  6. Step 6: Final answer
    x = 612,119.13

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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.