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Finding the Fourth Proportional to 484,808.40, 726,337.80 and 428,821.20

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Solution

The fourth proportional to 484,808.40, 726,337.80 and 428,821.20 is: 642,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,808.40 : 726,337.80 = 428,821.20 : x
  2. Step 2: Convert to fraction form
    484,808.40/726,337.80 = 428,821.20/x
  3. Step 3: Cross multiply
    484,808.40x = 726,337.80 × 428,821.20
  4. Step 4: Simplify right side
    484,808.40x = 311,469,047,001.36
  5. Step 5: Solve for x
    x = 311,469,047,001.36/484,808.40
  6. Step 6: Final answer
    x = 642,458.02

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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.