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Finding the Fourth Proportional to 521,642.56, 781,934.47 and 296,537.85

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Solution

The fourth proportional to 521,642.56, 781,934.47 and 296,537.85 is: 444,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,642.56 : 781,934.47 = 296,537.85 : x
  2. Step 2: Convert to fraction form
    521,642.56/781,934.47 = 296,537.85/x
  3. Step 3: Cross multiply
    521,642.56x = 781,934.47 × 296,537.85
  4. Step 4: Simplify right side
    521,642.56x = 231,873,166,648.46
  5. Step 5: Solve for x
    x = 231,873,166,648.46/521,642.56
  6. Step 6: Final answer
    x = 444,505.85

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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.