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Finding the Fourth Proportional to 552,729.16, 762,757.14 and 311,011.48

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Solution

The fourth proportional to 552,729.16, 762,757.14 and 311,011.48 is: 429,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,729.16 : 762,757.14 = 311,011.48 : x
  2. Step 2: Convert to fraction form
    552,729.16/762,757.14 = 311,011.48/x
  3. Step 3: Cross multiply
    552,729.16x = 762,757.14 × 311,011.48
  4. Step 4: Simplify right side
    552,729.16x = 237,226,226,991.97
  5. Step 5: Solve for x
    x = 237,226,226,991.97/552,729.16
  6. Step 6: Final answer
    x = 429,190.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.