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Finding the Fourth Proportional to 259,617.60, 389,528.80 and 101,819.20

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Solution

The fourth proportional to 259,617.60, 389,528.80 and 101,819.20 is: 152,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,617.60 : 389,528.80 = 101,819.20 : x
  2. Step 2: Convert to fraction form
    259,617.60/389,528.80 = 101,819.20/x
  3. Step 3: Cross multiply
    259,617.60x = 389,528.80 × 101,819.20
  4. Step 4: Simplify right side
    259,617.60x = 39,661,510,792.96
  5. Step 5: Solve for x
    x = 39,661,510,792.96/259,617.60
  6. Step 6: Final answer
    x = 152,768.96

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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.