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Finding the Fourth Proportional to 313,737.52, 432,738.88 and 206,273.20

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Solution

The fourth proportional to 313,737.52, 432,738.88 and 206,273.20 is: 284,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,737.52 : 432,738.88 = 206,273.20 : x
  2. Step 2: Convert to fraction form
    313,737.52/432,738.88 = 206,273.20/x
  3. Step 3: Cross multiply
    313,737.52x = 432,738.88 × 206,273.20
  4. Step 4: Simplify right side
    313,737.52x = 89,262,433,542.02
  5. Step 5: Solve for x
    x = 89,262,433,542.02/313,737.52
  6. Step 6: Final answer
    x = 284,513.10

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1.5x scale

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.