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Finding the Fourth Proportional to 520,142.52, 780,228.36 and 254,115.84

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Solution

The fourth proportional to 520,142.52, 780,228.36 and 254,115.84 is: 381,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,142.52 : 780,228.36 = 254,115.84 : x
  2. Step 2: Convert to fraction form
    520,142.52/780,228.36 = 254,115.84/x
  3. Step 3: Cross multiply
    520,142.52x = 780,228.36 × 254,115.84
  4. Step 4: Simplify right side
    520,142.52x = 198,268,385,093.22
  5. Step 5: Solve for x
    x = 198,268,385,093.22/520,142.52
  6. Step 6: Final answer
    x = 381,180.88

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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.