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Finding the Fourth Proportional to 274,140.16, 410,073 and 257,344

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Solution

The fourth proportional to 274,140.16, 410,073 and 257,344 is: 384,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,140.16 : 410,073 = 257,344 : x
  2. Step 2: Convert to fraction form
    274,140.16/410,073 = 257,344/x
  3. Step 3: Cross multiply
    274,140.16x = 410,073 × 257,344
  4. Step 4: Simplify right side
    274,140.16x = 105,529,826,112
  5. Step 5: Solve for x
    x = 105,529,826,112/274,140.16
  6. Step 6: Final answer
    x = 384,948.44

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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.