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Finding the Fourth Proportional to 408,819.42, 563,850.72 and 265,626

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Solution

The fourth proportional to 408,819.42, 563,850.72 and 265,626 is: 366,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,819.42 : 563,850.72 = 265,626 : x
  2. Step 2: Convert to fraction form
    408,819.42/563,850.72 = 265,626/x
  3. Step 3: Cross multiply
    408,819.42x = 563,850.72 × 265,626
  4. Step 4: Simplify right side
    408,819.42x = 149,773,411,350.72
  5. Step 5: Solve for x
    x = 149,773,411,350.72/408,819.42
  6. Step 6: Final answer
    x = 366,355.91

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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.