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Finding the Fourth Proportional to 509,013.26, 763,393.72 and 172,046.42

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Solution

The fourth proportional to 509,013.26, 763,393.72 and 172,046.42 is: 258,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,013.26 : 763,393.72 = 172,046.42 : x
  2. Step 2: Convert to fraction form
    509,013.26/763,393.72 = 172,046.42/x
  3. Step 3: Cross multiply
    509,013.26x = 763,393.72 × 172,046.42
  4. Step 4: Simplify right side
    509,013.26x = 131,339,156,576.48
  5. Step 5: Solve for x
    x = 131,339,156,576.48/509,013.26
  6. Step 6: Final answer
    x = 258,026.98

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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.