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Finding the Fourth Proportional to 257,294.82, 355,240.14 and 160,645.82

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Solution

The fourth proportional to 257,294.82, 355,240.14 and 160,645.82 is: 221,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,294.82 : 355,240.14 = 160,645.82 : x
  2. Step 2: Convert to fraction form
    257,294.82/355,240.14 = 160,645.82/x
  3. Step 3: Cross multiply
    257,294.82x = 355,240.14 × 160,645.82
  4. Step 4: Simplify right side
    257,294.82x = 57,067,843,587.21
  5. Step 5: Solve for x
    x = 57,067,843,587.21/257,294.82
  6. Step 6: Final answer
    x = 221,799.43

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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.