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Finding the Fourth Proportional to 521,609.40, 782,414.10 and 395,638.20

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Solution

The fourth proportional to 521,609.40, 782,414.10 and 395,638.20 is: 593,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,609.40 : 782,414.10 = 395,638.20 : x
  2. Step 2: Convert to fraction form
    521,609.40/782,414.10 = 395,638.20/x
  3. Step 3: Cross multiply
    521,609.40x = 782,414.10 × 395,638.20
  4. Step 4: Simplify right side
    521,609.40x = 309,552,906,178.62
  5. Step 5: Solve for x
    x = 309,552,906,178.62/521,609.40
  6. Step 6: Final answer
    x = 593,457.30

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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.