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Finding the Fourth Proportional to 281,147.60, 421,915.80 and 202,318.40

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Solution

The fourth proportional to 281,147.60, 421,915.80 and 202,318.40 is: 303,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,147.60 : 421,915.80 = 202,318.40 : x
  2. Step 2: Convert to fraction form
    281,147.60/421,915.80 = 202,318.40/x
  3. Step 3: Cross multiply
    281,147.60x = 421,915.80 × 202,318.40
  4. Step 4: Simplify right side
    281,147.60x = 85,361,329,590.72
  5. Step 5: Solve for x
    x = 85,361,329,590.72/281,147.60
  6. Step 6: Final answer
    x = 303,617.49

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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.