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Finding the Fourth Proportional to 250,920, 375,434.70 and 176,187.78

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Solution

The fourth proportional to 250,920, 375,434.70 and 176,187.78 is: 263,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,920 : 375,434.70 = 176,187.78 : x
  2. Step 2: Convert to fraction form
    250,920/375,434.70 = 176,187.78/x
  3. Step 3: Cross multiply
    250,920x = 375,434.70 × 176,187.78
  4. Step 4: Simplify right side
    250,920x = 66,147,006,327.97
  5. Step 5: Solve for x
    x = 66,147,006,327.97/250,920
  6. Step 6: Final answer
    x = 263,617.91

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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.