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Finding the Fourth Proportional to 281,937.40, 422,906.10 and 268,113.40

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Solution

The fourth proportional to 281,937.40, 422,906.10 and 268,113.40 is: 402,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,937.40 : 422,906.10 = 268,113.40 : x
  2. Step 2: Convert to fraction form
    281,937.40/422,906.10 = 268,113.40/x
  3. Step 3: Cross multiply
    281,937.40x = 422,906.10 × 268,113.40
  4. Step 4: Simplify right side
    281,937.40x = 113,386,792,351.74
  5. Step 5: Solve for x
    x = 113,386,792,351.74/281,937.40
  6. Step 6: Final answer
    x = 402,170.10

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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.