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Finding the Fourth Proportional to 387,983.98, 582,000.56 and 121,755

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Solution

The fourth proportional to 387,983.98, 582,000.56 and 121,755 is: 182,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,983.98 : 582,000.56 = 121,755 : x
  2. Step 2: Convert to fraction form
    387,983.98/582,000.56 = 121,755/x
  3. Step 3: Cross multiply
    387,983.98x = 582,000.56 × 121,755
  4. Step 4: Simplify right side
    387,983.98x = 70,861,478,182.80
  5. Step 5: Solve for x
    x = 70,861,478,182.80/387,983.98
  6. Step 6: Final answer
    x = 182,640.22

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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.