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Finding the Fourth Proportional to 315,439.92, 473,221.64 and 115,761.76

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Solution

The fourth proportional to 315,439.92, 473,221.64 and 115,761.76 is: 173,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,439.92 : 473,221.64 = 115,761.76 : x
  2. Step 2: Convert to fraction form
    315,439.92/473,221.64 = 115,761.76/x
  3. Step 3: Cross multiply
    315,439.92x = 473,221.64 × 115,761.76
  4. Step 4: Simplify right side
    315,439.92x = 54,780,969,022.84
  5. Step 5: Solve for x
    x = 54,780,969,022.84/315,439.92
  6. Step 6: Final answer
    x = 173,665.30

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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.