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Finding the Fourth Proportional to 491,428.51, 737,141.92 and 154,498.61

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Solution

The fourth proportional to 491,428.51, 737,141.92 and 154,498.61 is: 231,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,428.51 : 737,141.92 = 154,498.61 : x
  2. Step 2: Convert to fraction form
    491,428.51/737,141.92 = 154,498.61/x
  3. Step 3: Cross multiply
    491,428.51x = 737,141.92 × 154,498.61
  4. Step 4: Simplify right side
    491,428.51x = 113,887,403,469.34
  5. Step 5: Solve for x
    x = 113,887,403,469.34/491,428.51
  6. Step 6: Final answer
    x = 231,747.65

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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.