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Finding the Fourth Proportional to 261,286.40, 391,346.40 and 201,654.20

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Solution

The fourth proportional to 261,286.40, 391,346.40 and 201,654.20 is: 302,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,286.40 : 391,346.40 = 201,654.20 : x
  2. Step 2: Convert to fraction form
    261,286.40/391,346.40 = 201,654.20/x
  3. Step 3: Cross multiply
    261,286.40x = 391,346.40 × 201,654.20
  4. Step 4: Simplify right side
    261,286.40x = 78,916,645,214.88
  5. Step 5: Solve for x
    x = 78,916,645,214.88/261,286.40
  6. Step 6: Final answer
    x = 302,031.20

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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.