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Finding the Fourth Proportional to 402,343.03, 603,791.35 and 165,685.70

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Solution

The fourth proportional to 402,343.03, 603,791.35 and 165,685.70 is: 248,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,343.03 : 603,791.35 = 165,685.70 : x
  2. Step 2: Convert to fraction form
    402,343.03/603,791.35 = 165,685.70/x
  3. Step 3: Cross multiply
    402,343.03x = 603,791.35 × 165,685.70
  4. Step 4: Simplify right side
    402,343.03x = 100,039,593,573.96
  5. Step 5: Solve for x
    x = 100,039,593,573.96/402,343.03
  6. Step 6: Final answer
    x = 248,642.54

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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.