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Finding the Fourth Proportional to 273,615.76, 409,667.84 and 140,208.72

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Solution

The fourth proportional to 273,615.76, 409,667.84 and 140,208.72 is: 209,925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,615.76 : 409,667.84 = 140,208.72 : x
  2. Step 2: Convert to fraction form
    273,615.76/409,667.84 = 140,208.72/x
  3. Step 3: Cross multiply
    273,615.76x = 409,667.84 × 140,208.72
  4. Step 4: Simplify right side
    273,615.76x = 57,439,003,471.56
  5. Step 5: Solve for x
    x = 57,439,003,471.56/273,615.76
  6. Step 6: Final answer
    x = 209,925.79

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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.