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Finding the Fourth Proportional to 258,895.44, 387,818.28 and 133,974

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Solution

The fourth proportional to 258,895.44, 387,818.28 and 133,974 is: 200,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,895.44 : 387,818.28 = 133,974 : x
  2. Step 2: Convert to fraction form
    258,895.44/387,818.28 = 133,974/x
  3. Step 3: Cross multiply
    258,895.44x = 387,818.28 × 133,974
  4. Step 4: Simplify right side
    258,895.44x = 51,957,566,244.72
  5. Step 5: Solve for x
    x = 51,957,566,244.72/258,895.44
  6. Step 6: Final answer
    x = 200,689.38

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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.