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Finding the Fourth Proportional to 315,875.70, 474,042.06 and 123,778.80

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Solution

The fourth proportional to 315,875.70, 474,042.06 and 123,778.80 is: 185,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,875.70 : 474,042.06 = 123,778.80 : x
  2. Step 2: Convert to fraction form
    315,875.70/474,042.06 = 123,778.80/x
  3. Step 3: Cross multiply
    315,875.70x = 474,042.06 × 123,778.80
  4. Step 4: Simplify right side
    315,875.70x = 58,676,357,336.33
  5. Step 5: Solve for x
    x = 58,676,357,336.33/315,875.70
  6. Step 6: Final answer
    x = 185,757.74

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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.