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Finding the Fourth Proportional to 415,771.20, 623,656.80 and 205,819.20

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Solution

The fourth proportional to 415,771.20, 623,656.80 and 205,819.20 is: 308,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,771.20 : 623,656.80 = 205,819.20 : x
  2. Step 2: Convert to fraction form
    415,771.20/623,656.80 = 205,819.20/x
  3. Step 3: Cross multiply
    415,771.20x = 623,656.80 × 205,819.20
  4. Step 4: Simplify right side
    415,771.20x = 128,360,543,650.56
  5. Step 5: Solve for x
    x = 128,360,543,650.56/415,771.20
  6. Step 6: Final answer
    x = 308,728.80

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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.