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Finding the Fourth Proportional to 520,142.64, 780,228.54 and 254,115.96

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Solution

The fourth proportional to 520,142.64, 780,228.54 and 254,115.96 is: 381,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,142.64 : 780,228.54 = 254,115.96 : x
  2. Step 2: Convert to fraction form
    520,142.64/780,228.54 = 254,115.96/x
  3. Step 3: Cross multiply
    520,142.64x = 780,228.54 × 254,115.96
  4. Step 4: Simplify right side
    520,142.64x = 198,268,524,461.50
  5. Step 5: Solve for x
    x = 198,268,524,461.50/520,142.64
  6. Step 6: Final answer
    x = 381,181.06

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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.