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Finding the Fourth Proportional to 261,020.70, 391,531.05 and 208,532.70

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Solution

The fourth proportional to 261,020.70, 391,531.05 and 208,532.70 is: 312,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,020.70 : 391,531.05 = 208,532.70 : x
  2. Step 2: Convert to fraction form
    261,020.70/391,531.05 = 208,532.70/x
  3. Step 3: Cross multiply
    261,020.70x = 391,531.05 × 208,532.70
  4. Step 4: Simplify right side
    261,020.70x = 81,647,026,990.34
  5. Step 5: Solve for x
    x = 81,647,026,990.34/261,020.70
  6. Step 6: Final answer
    x = 312,799.05

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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.