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Finding the Fourth Proportional to 407,626.80, 611,440.20 and 112,138.80

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Solution

The fourth proportional to 407,626.80, 611,440.20 and 112,138.80 is: 168,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,626.80 : 611,440.20 = 112,138.80 : x
  2. Step 2: Convert to fraction form
    407,626.80/611,440.20 = 112,138.80/x
  3. Step 3: Cross multiply
    407,626.80x = 611,440.20 × 112,138.80
  4. Step 4: Simplify right side
    407,626.80x = 68,566,170,299.76
  5. Step 5: Solve for x
    x = 68,566,170,299.76/407,626.80
  6. Step 6: Final answer
    x = 168,208.20

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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.