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Finding the Fourth Proportional to 513,009.60, 769,514.40 and 443,025.60

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Solution

The fourth proportional to 513,009.60, 769,514.40 and 443,025.60 is: 664,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,009.60 : 769,514.40 = 443,025.60 : x
  2. Step 2: Convert to fraction form
    513,009.60/769,514.40 = 443,025.60/x
  3. Step 3: Cross multiply
    513,009.60x = 769,514.40 × 443,025.60
  4. Step 4: Simplify right side
    513,009.60x = 340,914,578,768.64
  5. Step 5: Solve for x
    x = 340,914,578,768.64/513,009.60
  6. Step 6: Final answer
    x = 664,538.40

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Double scale
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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.