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Finding the Fourth Proportional to 392,008.60, 587,138.10 and 322,024.60

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Solution

The fourth proportional to 392,008.60, 587,138.10 and 322,024.60 is: 482,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,008.60 : 587,138.10 = 322,024.60 : x
  2. Step 2: Convert to fraction form
    392,008.60/587,138.10 = 322,024.60/x
  3. Step 3: Cross multiply
    392,008.60x = 587,138.10 × 322,024.60
  4. Step 4: Simplify right side
    392,008.60x = 189,072,911,797.26
  5. Step 5: Solve for x
    x = 189,072,911,797.26/392,008.60
  6. Step 6: Final answer
    x = 482,318.28

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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.