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Finding the Fourth Proportional to 315,052.80, 472,456.34 and 137,438.70

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Solution

The fourth proportional to 315,052.80, 472,456.34 and 137,438.70 is: 206,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,052.80 : 472,456.34 = 137,438.70 : x
  2. Step 2: Convert to fraction form
    315,052.80/472,456.34 = 137,438.70/x
  3. Step 3: Cross multiply
    315,052.80x = 472,456.34 × 137,438.70
  4. Step 4: Simplify right side
    315,052.80x = 64,933,785,176.36
  5. Step 5: Solve for x
    x = 64,933,785,176.36/315,052.80
  6. Step 6: Final answer
    x = 206,104.45

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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.