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Finding the Fourth Proportional to 520,078.20, 780,142.90 and 271,246.20

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Solution

The fourth proportional to 520,078.20, 780,142.90 and 271,246.20 is: 406,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,078.20 : 780,142.90 = 271,246.20 : x
  2. Step 2: Convert to fraction form
    520,078.20/780,142.90 = 271,246.20/x
  3. Step 3: Cross multiply
    520,078.20x = 780,142.90 × 271,246.20
  4. Step 4: Simplify right side
    520,078.20x = 211,610,797,081.98
  5. Step 5: Solve for x
    x = 211,610,797,081.98/520,078.20
  6. Step 6: Final answer
    x = 406,882.65

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1.5x scale

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.