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Finding the Fourth Proportional to 313,272.14, 469,904.13 and 76,616.87

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Solution

The fourth proportional to 313,272.14, 469,904.13 and 76,616.87 is: 114,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,272.14 : 469,904.13 = 76,616.87 : x
  2. Step 2: Convert to fraction form
    313,272.14/469,904.13 = 76,616.87/x
  3. Step 3: Cross multiply
    313,272.14x = 469,904.13 × 76,616.87
  4. Step 4: Simplify right side
    313,272.14x = 36,002,581,291.15
  5. Step 5: Solve for x
    x = 36,002,581,291.15/313,272.14
  6. Step 6: Final answer
    x = 114,924.30

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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.