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Finding the Fourth Proportional to 281,397.49, 422,095.46 and 217,448.70

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Solution

The fourth proportional to 281,397.49, 422,095.46 and 217,448.70 is: 326,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,397.49 : 422,095.46 = 217,448.70 : x
  2. Step 2: Convert to fraction form
    281,397.49/422,095.46 = 217,448.70/x
  3. Step 3: Cross multiply
    281,397.49x = 422,095.46 × 217,448.70
  4. Step 4: Simplify right side
    281,397.49x = 91,784,108,757.09
  5. Step 5: Solve for x
    x = 91,784,108,757.09/281,397.49
  6. Step 6: Final answer
    x = 326,172.45

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1.5x scale

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.