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Finding the Fourth Proportional to 257,163.31, 354,889.04 and 148,265.49

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Solution

The fourth proportional to 257,163.31, 354,889.04 and 148,265.49 is: 204,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,163.31 : 354,889.04 = 148,265.49 : x
  2. Step 2: Convert to fraction form
    257,163.31/354,889.04 = 148,265.49/x
  3. Step 3: Cross multiply
    257,163.31x = 354,889.04 × 148,265.49
  4. Step 4: Simplify right side
    257,163.31x = 52,617,796,669.90
  5. Step 5: Solve for x
    x = 52,617,796,669.90/257,163.31
  6. Step 6: Final answer
    x = 204,608.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.