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Finding the Fourth Proportional to 781,633, 1,171,796.70 and 332,706.28

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Solution

The fourth proportional to 781,633, 1,171,796.70 and 332,706.28 is: 498,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,633 : 1,171,796.70 = 332,706.28 : x
  2. Step 2: Convert to fraction form
    781,633/1,171,796.70 = 332,706.28/x
  3. Step 3: Cross multiply
    781,633x = 1,171,796.70 × 332,706.28
  4. Step 4: Simplify right side
    781,633x = 389,864,120,973.28
  5. Step 5: Solve for x
    x = 389,864,120,973.28/781,633
  6. Step 6: Final answer
    x = 498,781.55

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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.