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Finding the Fourth Proportional to 398,122.71, 596,394 and 187,908.27

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Solution

The fourth proportional to 398,122.71, 596,394 and 187,908.27 is: 281,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,122.71 : 596,394 = 187,908.27 : x
  2. Step 2: Convert to fraction form
    398,122.71/596,394 = 187,908.27/x
  3. Step 3: Cross multiply
    398,122.71x = 596,394 × 187,908.27
  4. Step 4: Simplify right side
    398,122.71x = 112,067,364,778.38
  5. Step 5: Solve for x
    x = 112,067,364,778.38/398,122.71
  6. Step 6: Final answer
    x = 281,489.51

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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.