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Finding the Fourth Proportional to 580,082.40, 872,456.40 and 519,429.60

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Solution

The fourth proportional to 580,082.40, 872,456.40 and 519,429.60 is: 781,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,082.40 : 872,456.40 = 519,429.60 : x
  2. Step 2: Convert to fraction form
    580,082.40/872,456.40 = 519,429.60/x
  3. Step 3: Cross multiply
    580,082.40x = 872,456.40 × 519,429.60
  4. Step 4: Simplify right side
    580,082.40x = 453,179,678,869.44
  5. Step 5: Solve for x
    x = 453,179,678,869.44/580,082.40
  6. Step 6: Final answer
    x = 781,233.28

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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.