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Finding the Fourth Proportional to 261,188.88, 391,491.72 and 103,297.20

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Solution

The fourth proportional to 261,188.88, 391,491.72 and 103,297.20 is: 154,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,188.88 : 391,491.72 = 103,297.20 : x
  2. Step 2: Convert to fraction form
    261,188.88/391,491.72 = 103,297.20/x
  3. Step 3: Cross multiply
    261,188.88x = 391,491.72 × 103,297.20
  4. Step 4: Simplify right side
    261,188.88x = 40,439,998,499.18
  5. Step 5: Solve for x
    x = 40,439,998,499.18/261,188.88
  6. Step 6: Final answer
    x = 154,830.48

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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.