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Finding the Fourth Proportional to 278,199.42, 417,382.30 and 197,302.30

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Solution

The fourth proportional to 278,199.42, 417,382.30 and 197,302.30 is: 296,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,199.42 : 417,382.30 = 197,302.30 : x
  2. Step 2: Convert to fraction form
    278,199.42/417,382.30 = 197,302.30/x
  3. Step 3: Cross multiply
    278,199.42x = 417,382.30 × 197,302.30
  4. Step 4: Simplify right side
    278,199.42x = 82,350,487,769.29
  5. Step 5: Solve for x
    x = 82,350,487,769.29/278,199.42
  6. Step 6: Final answer
    x = 296,012.44

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1.5x scale

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.