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Finding the Fourth Proportional to 250,348, 345,488.34 and 137,178.04

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Solution

The fourth proportional to 250,348, 345,488.34 and 137,178.04 is: 189,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,348 : 345,488.34 = 137,178.04 : x
  2. Step 2: Convert to fraction form
    250,348/345,488.34 = 137,178.04/x
  3. Step 3: Cross multiply
    250,348x = 345,488.34 × 137,178.04
  4. Step 4: Simplify right side
    250,348x = 47,393,413,324.05
  5. Step 5: Solve for x
    x = 47,393,413,324.05/250,348
  6. Step 6: Final answer
    x = 189,310.13

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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.