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Finding the Fourth Proportional to 509,722.20, 764,145.90 and 260,404.20

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Solution

The fourth proportional to 509,722.20, 764,145.90 and 260,404.20 is: 390,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,722.20 : 764,145.90 = 260,404.20 : x
  2. Step 2: Convert to fraction form
    509,722.20/764,145.90 = 260,404.20/x
  3. Step 3: Cross multiply
    509,722.20x = 764,145.90 × 260,404.20
  4. Step 4: Simplify right side
    509,722.20x = 198,986,801,772.78
  5. Step 5: Solve for x
    x = 198,986,801,772.78/509,722.20
  6. Step 6: Final answer
    x = 390,382.84

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Similar ratio
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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.