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Finding the Fourth Proportional to 273,419.60, 409,822.20 and 140,248.40

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Solution

The fourth proportional to 273,419.60, 409,822.20 and 140,248.40 is: 210,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,419.60 : 409,822.20 = 140,248.40 : x
  2. Step 2: Convert to fraction form
    273,419.60/409,822.20 = 140,248.40/x
  3. Step 3: Cross multiply
    273,419.60x = 409,822.20 × 140,248.40
  4. Step 4: Simplify right side
    273,419.60x = 57,476,907,834.48
  5. Step 5: Solve for x
    x = 57,476,907,834.48/273,419.60
  6. Step 6: Final answer
    x = 210,215.02

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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.