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Finding the Fourth Proportional to 312,778.92, 469,168.92 and 76,121.76

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Solution

The fourth proportional to 312,778.92, 469,168.92 and 76,121.76 is: 114,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,778.92 : 469,168.92 = 76,121.76 : x
  2. Step 2: Convert to fraction form
    312,778.92/469,168.92 = 76,121.76/x
  3. Step 3: Cross multiply
    312,778.92x = 469,168.92 × 76,121.76
  4. Step 4: Simplify right side
    312,778.92x = 35,713,963,927.70
  5. Step 5: Solve for x
    x = 35,713,963,927.70/312,778.92
  6. Step 6: Final answer
    x = 114,182.77

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1.5x scale

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.