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Finding the Fourth Proportional to 402,769.45, 603,776.85 and 136,343.44

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Solution

The fourth proportional to 402,769.45, 603,776.85 and 136,343.44 is: 204,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,769.45 : 603,776.85 = 136,343.44 : x
  2. Step 2: Convert to fraction form
    402,769.45/603,776.85 = 136,343.44/x
  3. Step 3: Cross multiply
    402,769.45x = 603,776.85 × 136,343.44
  4. Step 4: Simplify right side
    402,769.45x = 82,321,012,721.36
  5. Step 5: Solve for x
    x = 82,321,012,721.36/402,769.45
  6. Step 6: Final answer
    x = 204,387.43

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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.