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Finding the Fourth Proportional to 252,343.75, 378,328.78 and 152,480.56

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Solution

The fourth proportional to 252,343.75, 378,328.78 and 152,480.56 is: 228,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,343.75 : 378,328.78 = 152,480.56 : x
  2. Step 2: Convert to fraction form
    252,343.75/378,328.78 = 152,480.56/x
  3. Step 3: Cross multiply
    252,343.75x = 378,328.78 × 152,480.56
  4. Step 4: Simplify right side
    252,343.75x = 57,687,784,238.52
  5. Step 5: Solve for x
    x = 57,687,784,238.52/252,343.75
  6. Step 6: Final answer
    x = 228,607.94

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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.