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Finding the Fourth Proportional to 273,019.70, 409,529.55 and 140,159.45

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Solution

The fourth proportional to 273,019.70, 409,529.55 and 140,159.45 is: 210,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,019.70 : 409,529.55 = 140,159.45 : x
  2. Step 2: Convert to fraction form
    273,019.70/409,529.55 = 140,159.45/x
  3. Step 3: Cross multiply
    273,019.70x = 409,529.55 × 140,159.45
  4. Step 4: Simplify right side
    273,019.70x = 57,399,436,486.75
  5. Step 5: Solve for x
    x = 57,399,436,486.75/273,019.70
  6. Step 6: Final answer
    x = 210,239.18

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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.