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Finding the Fourth Proportional to 498,429.20, 747,643.80 and 309,472.40

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Solution

The fourth proportional to 498,429.20, 747,643.80 and 309,472.40 is: 464,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,429.20 : 747,643.80 = 309,472.40 : x
  2. Step 2: Convert to fraction form
    498,429.20/747,643.80 = 309,472.40/x
  3. Step 3: Cross multiply
    498,429.20x = 747,643.80 × 309,472.40
  4. Step 4: Simplify right side
    498,429.20x = 231,375,121,131.12
  5. Step 5: Solve for x
    x = 231,375,121,131.12/498,429.20
  6. Step 6: Final answer
    x = 464,208.60

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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.