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Finding the Fourth Proportional to 252,388.80, 377,795.52 and 185,904

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Solution

The fourth proportional to 252,388.80, 377,795.52 and 185,904 is: 278,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,388.80 : 377,795.52 = 185,904 : x
  2. Step 2: Convert to fraction form
    252,388.80/377,795.52 = 185,904/x
  3. Step 3: Cross multiply
    252,388.80x = 377,795.52 × 185,904
  4. Step 4: Simplify right side
    252,388.80x = 70,233,698,350.08
  5. Step 5: Solve for x
    x = 70,233,698,350.08/252,388.80
  6. Step 6: Final answer
    x = 278,275.81

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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.