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Finding the Fourth Proportional to 312,776.75, 469,165.18 and 76,119.43

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Solution

The fourth proportional to 312,776.75, 469,165.18 and 76,119.43 is: 114,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,776.75 : 469,165.18 = 76,119.43 : x
  2. Step 2: Convert to fraction form
    312,776.75/469,165.18 = 76,119.43/x
  3. Step 3: Cross multiply
    312,776.75x = 469,165.18 × 76,119.43
  4. Step 4: Simplify right side
    312,776.75x = 35,712,586,473.61
  5. Step 5: Solve for x
    x = 35,712,586,473.61/312,776.75
  6. Step 6: Final answer
    x = 114,179.16

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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.