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Finding the Fourth Proportional to 484,816.40, 726,349.80 and 428,829.20

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Solution

The fourth proportional to 484,816.40, 726,349.80 and 428,829.20 is: 642,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,816.40 : 726,349.80 = 428,829.20 : x
  2. Step 2: Convert to fraction form
    484,816.40/726,349.80 = 428,829.20/x
  3. Step 3: Cross multiply
    484,816.40x = 726,349.80 × 428,829.20
  4. Step 4: Simplify right side
    484,816.40x = 311,480,003,654.16
  5. Step 5: Solve for x
    x = 311,480,003,654.16/484,816.40
  6. Step 6: Final answer
    x = 642,470.02

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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.