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Finding the Fourth Proportional to 281,440.40, 422,197.08 and 91,834.04

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Solution

The fourth proportional to 281,440.40, 422,197.08 and 91,834.04 is: 137,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,440.40 : 422,197.08 = 91,834.04 : x
  2. Step 2: Convert to fraction form
    281,440.40/422,197.08 = 91,834.04/x
  3. Step 3: Cross multiply
    281,440.40x = 422,197.08 × 91,834.04
  4. Step 4: Simplify right side
    281,440.40x = 38,772,063,532.60
  5. Step 5: Solve for x
    x = 38,772,063,532.60/281,440.40
  6. Step 6: Final answer
    x = 137,762.96

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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.