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Finding the Fourth Proportional to 273,834.46, 410,258.40 and 257,365.54

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Solution

The fourth proportional to 273,834.46, 410,258.40 and 257,365.54 is: 385,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,834.46 : 410,258.40 = 257,365.54 : x
  2. Step 2: Convert to fraction form
    273,834.46/410,258.40 = 257,365.54/x
  3. Step 3: Cross multiply
    273,834.46x = 410,258.40 × 257,365.54
  4. Step 4: Simplify right side
    273,834.46x = 105,586,374,655.54
  5. Step 5: Solve for x
    x = 105,586,374,655.54/273,834.46
  6. Step 6: Final answer
    x = 385,584.69

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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.