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Finding the Fourth Proportional to 202,000.43, 278,780.31 and 150,924.53

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Solution

The fourth proportional to 202,000.43, 278,780.31 and 150,924.53 is: 208,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000.43 : 278,780.31 = 150,924.53 : x
  2. Step 2: Convert to fraction form
    202,000.43/278,780.31 = 150,924.53/x
  3. Step 3: Cross multiply
    202,000.43x = 278,780.31 × 150,924.53
  4. Step 4: Simplify right side
    202,000.43x = 42,074,787,956.96
  5. Step 5: Solve for x
    x = 42,074,787,956.96/202,000.43
  6. Step 6: Final answer
    x = 208,290.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.