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Finding the Fourth Proportional to 273,428.60, 409,835.70 and 140,257.40

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Solution

The fourth proportional to 273,428.60, 409,835.70 and 140,257.40 is: 210,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,428.60 : 409,835.70 = 140,257.40 : x
  2. Step 2: Convert to fraction form
    273,428.60/409,835.70 = 140,257.40/x
  3. Step 3: Cross multiply
    273,428.60x = 409,835.70 × 140,257.40
  4. Step 4: Simplify right side
    273,428.60x = 57,482,489,709.18
  5. Step 5: Solve for x
    x = 57,482,489,709.18/273,428.60
  6. Step 6: Final answer
    x = 210,228.52

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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.