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Finding the Fourth Proportional to 410,830.40, 616,245.60 and 269,115.20

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Solution

The fourth proportional to 410,830.40, 616,245.60 and 269,115.20 is: 403,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,830.40 : 616,245.60 = 269,115.20 : x
  2. Step 2: Convert to fraction form
    410,830.40/616,245.60 = 269,115.20/x
  3. Step 3: Cross multiply
    410,830.40x = 616,245.60 × 269,115.20
  4. Step 4: Simplify right side
    410,830.40x = 165,841,057,893.12
  5. Step 5: Solve for x
    x = 165,841,057,893.12/410,830.40
  6. Step 6: Final answer
    x = 403,672.80

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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.