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Finding the Fourth Proportional to 580,644.80, 869,815.20 and 511,371.20

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Solution

The fourth proportional to 580,644.80, 869,815.20 and 511,371.20 is: 766,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,644.80 : 869,815.20 = 511,371.20 : x
  2. Step 2: Convert to fraction form
    580,644.80/869,815.20 = 511,371.20/x
  3. Step 3: Cross multiply
    580,644.80x = 869,815.20 × 511,371.20
  4. Step 4: Simplify right side
    580,644.80x = 444,798,442,602.24
  5. Step 5: Solve for x
    x = 444,798,442,602.24/580,644.80
  6. Step 6: Final answer
    x = 766,042.24

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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.