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Finding the Fourth Proportional to 453,081.60, 680,011.20 and 200,750.40

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Solution

The fourth proportional to 453,081.60, 680,011.20 and 200,750.40 is: 301,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,081.60 : 680,011.20 = 200,750.40 : x
  2. Step 2: Convert to fraction form
    453,081.60/680,011.20 = 200,750.40/x
  3. Step 3: Cross multiply
    453,081.60x = 680,011.20 × 200,750.40
  4. Step 4: Simplify right side
    453,081.60x = 136,512,520,404.48
  5. Step 5: Solve for x
    x = 136,512,520,404.48/453,081.60
  6. Step 6: Final answer
    x = 301,297.87

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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.