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Finding the Fourth Proportional to 427,750, 590,450.76 and 248,902

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Solution

The fourth proportional to 427,750, 590,450.76 and 248,902 is: 343,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,750 : 590,450.76 = 248,902 : x
  2. Step 2: Convert to fraction form
    427,750/590,450.76 = 248,902/x
  3. Step 3: Cross multiply
    427,750x = 590,450.76 × 248,902
  4. Step 4: Simplify right side
    427,750x = 146,964,375,065.52
  5. Step 5: Solve for x
    x = 146,964,375,065.52/427,750
  6. Step 6: Final answer
    x = 343,575.39

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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.