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Finding the Fourth Proportional to 261,064.60, 391,337.70 and 120,578.20

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Solution

The fourth proportional to 261,064.60, 391,337.70 and 120,578.20 is: 180,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,064.60 : 391,337.70 = 120,578.20 : x
  2. Step 2: Convert to fraction form
    261,064.60/391,337.70 = 120,578.20/x
  3. Step 3: Cross multiply
    261,064.60x = 391,337.70 × 120,578.20
  4. Step 4: Simplify right side
    261,064.60x = 47,186,795,458.14
  5. Step 5: Solve for x
    x = 47,186,795,458.14/261,064.60
  6. Step 6: Final answer
    x = 180,747.58

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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.