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Finding the Fourth Proportional to 217,847.20, 304,364 and 217,847.20

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Solution

The fourth proportional to 217,847.20, 304,364 and 217,847.20 is: 304,364

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,847.20 : 304,364 = 217,847.20 : x
  2. Step 2: Convert to fraction form
    217,847.20/304,364 = 217,847.20/x
  3. Step 3: Cross multiply
    217,847.20x = 304,364 × 217,847.20
  4. Step 4: Simplify right side
    217,847.20x = 66,304,845,180.80
  5. Step 5: Solve for x
    x = 66,304,845,180.80/217,847.20
  6. Step 6: Final answer
    x = 304,364

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.