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Finding the Fourth Proportional to 598,642.20, 897,963.30 and 431,336.70

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Solution

The fourth proportional to 598,642.20, 897,963.30 and 431,336.70 is: 647,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,642.20 : 897,963.30 = 431,336.70 : x
  2. Step 2: Convert to fraction form
    598,642.20/897,963.30 = 431,336.70/x
  3. Step 3: Cross multiply
    598,642.20x = 897,963.30 × 431,336.70
  4. Step 4: Simplify right side
    598,642.20x = 387,324,526,543.11
  5. Step 5: Solve for x
    x = 387,324,526,543.11/598,642.20
  6. Step 6: Final answer
    x = 647,005.05

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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.