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Finding the Fourth Proportional to 478,114.75, 659,600.62 and 284,483.85

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Solution

The fourth proportional to 478,114.75, 659,600.62 and 284,483.85 is: 392,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,114.75 : 659,600.62 = 284,483.85 : x
  2. Step 2: Convert to fraction form
    478,114.75/659,600.62 = 284,483.85/x
  3. Step 3: Cross multiply
    478,114.75x = 659,600.62 × 284,483.85
  4. Step 4: Simplify right side
    478,114.75x = 187,645,723,839.99
  5. Step 5: Solve for x
    x = 187,645,723,839.99/478,114.75
  6. Step 6: Final answer
    x = 392,470.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.