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Finding the Fourth Proportional to 274,672.79, 410,871.74 and 257,876.63

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Solution

The fourth proportional to 274,672.79, 410,871.74 and 257,876.63 is: 385,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,672.79 : 410,871.74 = 257,876.63 : x
  2. Step 2: Convert to fraction form
    274,672.79/410,871.74 = 257,876.63/x
  3. Step 3: Cross multiply
    274,672.79x = 410,871.74 × 257,876.63
  4. Step 4: Simplify right side
    274,672.79x = 105,954,216,329.69
  5. Step 5: Solve for x
    x = 105,954,216,329.69/274,672.79
  6. Step 6: Final answer
    x = 385,747.05

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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.