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Finding the Fourth Proportional to 252,228, 378,347.76 and 74,731.68

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Solution

The fourth proportional to 252,228, 378,347.76 and 74,731.68 is: 112,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,228 : 378,347.76 = 74,731.68 : x
  2. Step 2: Convert to fraction form
    252,228/378,347.76 = 74,731.68/x
  3. Step 3: Cross multiply
    252,228x = 378,347.76 × 74,731.68
  4. Step 4: Simplify right side
    252,228x = 28,274,563,729.04
  5. Step 5: Solve for x
    x = 28,274,563,729.04/252,228
  6. Step 6: Final answer
    x = 112,099.23

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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.