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Finding the Fourth Proportional to 281,043.60, 421,759.80 and 202,214.40

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Solution

The fourth proportional to 281,043.60, 421,759.80 and 202,214.40 is: 303,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,043.60 : 421,759.80 = 202,214.40 : x
  2. Step 2: Convert to fraction form
    281,043.60/421,759.80 = 202,214.40/x
  3. Step 3: Cross multiply
    281,043.60x = 421,759.80 × 202,214.40
  4. Step 4: Simplify right side
    281,043.60x = 85,285,904,901.12
  5. Step 5: Solve for x
    x = 85,285,904,901.12/281,043.60
  6. Step 6: Final answer
    x = 303,461.47

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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.