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Finding the Fourth Proportional to 499,400.64, 749,634.03 and 215,231.42

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Solution

The fourth proportional to 499,400.64, 749,634.03 and 215,231.42 is: 323,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,400.64 : 749,634.03 = 215,231.42 : x
  2. Step 2: Convert to fraction form
    499,400.64/749,634.03 = 215,231.42/x
  3. Step 3: Cross multiply
    499,400.64x = 749,634.03 × 215,231.42
  4. Step 4: Simplify right side
    499,400.64x = 161,344,795,681.07
  5. Step 5: Solve for x
    x = 161,344,795,681.07/499,400.64
  6. Step 6: Final answer
    x = 323,076.87

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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.