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Finding the Fourth Proportional to 514,330.80, 769,309.20 and 461,405.40

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Solution

The fourth proportional to 514,330.80, 769,309.20 and 461,405.40 is: 690,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,330.80 : 769,309.20 = 461,405.40 : x
  2. Step 2: Convert to fraction form
    514,330.80/769,309.20 = 461,405.40/x
  3. Step 3: Cross multiply
    514,330.80x = 769,309.20 × 461,405.40
  4. Step 4: Simplify right side
    514,330.80x = 354,963,419,149.68
  5. Step 5: Solve for x
    x = 354,963,419,149.68/514,330.80
  6. Step 6: Final answer
    x = 690,146.15

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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.