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Finding the Fourth Proportional to 580,100.70, 870,151.05 and 314,380.20

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Solution

The fourth proportional to 580,100.70, 870,151.05 and 314,380.20 is: 471,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,100.70 : 870,151.05 = 314,380.20 : x
  2. Step 2: Convert to fraction form
    580,100.70/870,151.05 = 314,380.20/x
  3. Step 3: Cross multiply
    580,100.70x = 870,151.05 × 314,380.20
  4. Step 4: Simplify right side
    580,100.70x = 273,558,261,129.21
  5. Step 5: Solve for x
    x = 273,558,261,129.21/580,100.70
  6. Step 6: Final answer
    x = 471,570.30

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Similar ratio
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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.