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Finding the Fourth Proportional to 387,902.80, 581,616.06 and 150,969.70

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Solution

The fourth proportional to 387,902.80, 581,616.06 and 150,969.70 is: 226,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,902.80 : 581,616.06 = 150,969.70 : x
  2. Step 2: Convert to fraction form
    387,902.80/581,616.06 = 150,969.70/x
  3. Step 3: Cross multiply
    387,902.80x = 581,616.06 × 150,969.70
  4. Step 4: Simplify right side
    387,902.80x = 87,806,402,093.38
  5. Step 5: Solve for x
    x = 87,806,402,093.38/387,902.80
  6. Step 6: Final answer
    x = 226,361.87

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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.