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Finding the Fourth Proportional to 537,614.31, 741,788.63 and 311,128.59

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Solution

The fourth proportional to 537,614.31, 741,788.63 and 311,128.59 is: 429,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,614.31 : 741,788.63 = 311,128.59 : x
  2. Step 2: Convert to fraction form
    537,614.31/741,788.63 = 311,128.59/x
  3. Step 3: Cross multiply
    537,614.31x = 741,788.63 × 311,128.59
  4. Step 4: Simplify right side
    537,614.31x = 230,791,654,672.83
  5. Step 5: Solve for x
    x = 230,791,654,672.83/537,614.31
  6. Step 6: Final answer
    x = 429,288.52

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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.