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Finding the Fourth Proportional to 552,810.40, 762,859.92 and 311,097.76

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Solution

The fourth proportional to 552,810.40, 762,859.92 and 311,097.76 is: 429,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,810.40 : 762,859.92 = 311,097.76 : x
  2. Step 2: Convert to fraction form
    552,810.40/762,859.92 = 311,097.76/x
  3. Step 3: Cross multiply
    552,810.40x = 762,859.92 × 311,097.76
  4. Step 4: Simplify right side
    552,810.40x = 237,324,012,305.78
  5. Step 5: Solve for x
    x = 237,324,012,305.78/552,810.40
  6. Step 6: Final answer
    x = 429,304.54

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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.