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Finding the Fourth Proportional to 577,648.80, 866,473.20 and 409,687.20

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Solution

The fourth proportional to 577,648.80, 866,473.20 and 409,687.20 is: 614,530.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,648.80 : 866,473.20 = 409,687.20 : x
  2. Step 2: Convert to fraction form
    577,648.80/866,473.20 = 409,687.20/x
  3. Step 3: Cross multiply
    577,648.80x = 866,473.20 × 409,687.20
  4. Step 4: Simplify right side
    577,648.80x = 354,982,979,183.04
  5. Step 5: Solve for x
    x = 354,982,979,183.04/577,648.80
  6. Step 6: Final answer
    x = 614,530.80

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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.