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Finding the Fourth Proportional to 499,272.70, 748,909.05 and 310,315.90

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Solution

The fourth proportional to 499,272.70, 748,909.05 and 310,315.90 is: 465,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,272.70 : 748,909.05 = 310,315.90 : x
  2. Step 2: Convert to fraction form
    499,272.70/748,909.05 = 310,315.90/x
  3. Step 3: Cross multiply
    499,272.70x = 748,909.05 × 310,315.90
  4. Step 4: Simplify right side
    499,272.70x = 232,398,385,868.90
  5. Step 5: Solve for x
    x = 232,398,385,868.90/499,272.70
  6. Step 6: Final answer
    x = 465,473.85

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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.