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Finding the Fourth Proportional to 345,103.26, 517,705.89 and 176,718.78

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Solution

The fourth proportional to 345,103.26, 517,705.89 and 176,718.78 is: 265,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,103.26 : 517,705.89 = 176,718.78 : x
  2. Step 2: Convert to fraction form
    345,103.26/517,705.89 = 176,718.78/x
  3. Step 3: Cross multiply
    345,103.26x = 517,705.89 × 176,718.78
  4. Step 4: Simplify right side
    345,103.26x = 91,488,353,279.61
  5. Step 5: Solve for x
    x = 91,488,353,279.61/345,103.26
  6. Step 6: Final answer
    x = 265,104.29

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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.