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Finding the Fourth Proportional to 509,742.40, 764,613.60 and 341,780.80

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Solution

The fourth proportional to 509,742.40, 764,613.60 and 341,780.80 is: 512,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,742.40 : 764,613.60 = 341,780.80 : x
  2. Step 2: Convert to fraction form
    509,742.40/764,613.60 = 341,780.80/x
  3. Step 3: Cross multiply
    509,742.40x = 764,613.60 × 341,780.80
  4. Step 4: Simplify right side
    509,742.40x = 261,330,247,898.88
  5. Step 5: Solve for x
    x = 261,330,247,898.88/509,742.40
  6. Step 6: Final answer
    x = 512,671.20

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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.