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Finding the Fourth Proportional to 410,013.18, 565,819.11 and 228,720.60

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Solution

The fourth proportional to 410,013.18, 565,819.11 and 228,720.60 is: 315,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,013.18 : 565,819.11 = 228,720.60 : x
  2. Step 2: Convert to fraction form
    410,013.18/565,819.11 = 228,720.60/x
  3. Step 3: Cross multiply
    410,013.18x = 565,819.11 × 228,720.60
  4. Step 4: Simplify right side
    410,013.18x = 129,414,486,330.67
  5. Step 5: Solve for x
    x = 129,414,486,330.67/410,013.18
  6. Step 6: Final answer
    x = 315,634.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.