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Finding the Fourth Proportional to 261,012.70, 391,519.05 and 160,848.10

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Solution

The fourth proportional to 261,012.70, 391,519.05 and 160,848.10 is: 241,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,012.70 : 391,519.05 = 160,848.10 : x
  2. Step 2: Convert to fraction form
    261,012.70/391,519.05 = 160,848.10/x
  3. Step 3: Cross multiply
    261,012.70x = 391,519.05 × 160,848.10
  4. Step 4: Simplify right side
    261,012.70x = 62,975,095,306.31
  5. Step 5: Solve for x
    x = 62,975,095,306.31/261,012.70
  6. Step 6: Final answer
    x = 241,272.15

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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.