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Finding the Fourth Proportional to 509,726.20, 764,151.90 and 260,408.20

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Solution

The fourth proportional to 509,726.20, 764,151.90 and 260,408.20 is: 390,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,726.20 : 764,151.90 = 260,408.20 : x
  2. Step 2: Convert to fraction form
    509,726.20/764,151.90 = 260,408.20/x
  3. Step 3: Cross multiply
    509,726.20x = 764,151.90 × 260,408.20
  4. Step 4: Simplify right side
    509,726.20x = 198,991,420,805.58
  5. Step 5: Solve for x
    x = 198,991,420,805.58/509,726.20
  6. Step 6: Final answer
    x = 390,388.84

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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.