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Finding the Fourth Proportional to 499,204.85, 748,585.33 and 309,657.56

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Solution

The fourth proportional to 499,204.85, 748,585.33 and 309,657.56 is: 464,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,204.85 : 748,585.33 = 309,657.56 : x
  2. Step 2: Convert to fraction form
    499,204.85/748,585.33 = 309,657.56/x
  3. Step 3: Cross multiply
    499,204.85x = 748,585.33 × 309,657.56
  4. Step 4: Simplify right side
    499,204.85x = 231,805,102,222.52
  5. Step 5: Solve for x
    x = 231,805,102,222.52/499,204.85
  6. Step 6: Final answer
    x = 464,348.66

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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.