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Finding the Fourth Proportional to 273,010.70, 409,516.05 and 257,458.70

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Solution

The fourth proportional to 273,010.70, 409,516.05 and 257,458.70 is: 386,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,010.70 : 409,516.05 = 257,458.70 : x
  2. Step 2: Convert to fraction form
    273,010.70/409,516.05 = 257,458.70/x
  3. Step 3: Cross multiply
    273,010.70x = 409,516.05 × 257,458.70
  4. Step 4: Simplify right side
    273,010.70x = 105,433,469,862.14
  5. Step 5: Solve for x
    x = 105,433,469,862.14/273,010.70
  6. Step 6: Final answer
    x = 386,188.05

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1.5x scale

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.