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Finding the Fourth Proportional to 580,632.80, 869,797.20 and 511,359.20

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Solution

The fourth proportional to 580,632.80, 869,797.20 and 511,359.20 is: 766,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,632.80 : 869,797.20 = 511,359.20 : x
  2. Step 2: Convert to fraction form
    580,632.80/869,797.20 = 511,359.20/x
  3. Step 3: Cross multiply
    580,632.80x = 869,797.20 × 511,359.20
  4. Step 4: Simplify right side
    580,632.80x = 444,778,800,354.24
  5. Step 5: Solve for x
    x = 444,778,800,354.24/580,632.80
  6. Step 6: Final answer
    x = 766,024.24

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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.