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Finding the Fourth Proportional to 409,819.80, 614,073.60 and 259,791.60

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Solution

The fourth proportional to 409,819.80, 614,073.60 and 259,791.60 is: 389,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,819.80 : 614,073.60 = 259,791.60 : x
  2. Step 2: Convert to fraction form
    409,819.80/614,073.60 = 259,791.60/x
  3. Step 3: Cross multiply
    409,819.80x = 614,073.60 × 259,791.60
  4. Step 4: Simplify right side
    409,819.80x = 159,531,163,061.76
  5. Step 5: Solve for x
    x = 159,531,163,061.76/409,819.80
  6. Step 6: Final answer
    x = 389,271.49

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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.