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Finding the Fourth Proportional to 281,139.60, 421,903.80 and 202,310.40

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Solution

The fourth proportional to 281,139.60, 421,903.80 and 202,310.40 is: 303,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,139.60 : 421,903.80 = 202,310.40 : x
  2. Step 2: Convert to fraction form
    281,139.60/421,903.80 = 202,310.40/x
  3. Step 3: Cross multiply
    281,139.60x = 421,903.80 × 202,310.40
  4. Step 4: Simplify right side
    281,139.60x = 85,355,526,539.52
  5. Step 5: Solve for x
    x = 85,355,526,539.52/281,139.60
  6. Step 6: Final answer
    x = 303,605.49

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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.