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Finding the Fourth Proportional to 281,145.60, 421,912.80 and 202,316.40

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Solution

The fourth proportional to 281,145.60, 421,912.80 and 202,316.40 is: 303,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,145.60 : 421,912.80 = 202,316.40 : x
  2. Step 2: Convert to fraction form
    281,145.60/421,912.80 = 202,316.40/x
  3. Step 3: Cross multiply
    281,145.60x = 421,912.80 × 202,316.40
  4. Step 4: Simplify right side
    281,145.60x = 85,359,878,809.92
  5. Step 5: Solve for x
    x = 85,359,878,809.92/281,145.60
  6. Step 6: Final answer
    x = 303,614.49

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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.