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Finding the Fourth Proportional to 580,363.20, 870,232.80 and 206,337.60

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Solution

The fourth proportional to 580,363.20, 870,232.80 and 206,337.60 is: 309,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,363.20 : 870,232.80 = 206,337.60 : x
  2. Step 2: Convert to fraction form
    580,363.20/870,232.80 = 206,337.60/x
  3. Step 3: Cross multiply
    580,363.20x = 870,232.80 × 206,337.60
  4. Step 4: Simplify right side
    580,363.20x = 179,561,747,393.28
  5. Step 5: Solve for x
    x = 179,561,747,393.28/580,363.20
  6. Step 6: Final answer
    x = 309,395.47

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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.