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Finding the Fourth Proportional to 409,165.60, 612,711.60 and 326,221.60

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Solution

The fourth proportional to 409,165.60, 612,711.60 and 326,221.60 is: 488,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,165.60 : 612,711.60 = 326,221.60 : x
  2. Step 2: Convert to fraction form
    409,165.60/612,711.60 = 326,221.60/x
  3. Step 3: Cross multiply
    409,165.60x = 612,711.60 × 326,221.60
  4. Step 4: Simplify right side
    409,165.60x = 199,879,758,490.56
  5. Step 5: Solve for x
    x = 199,879,758,490.56/409,165.60
  6. Step 6: Final answer
    x = 488,505.77

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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.