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Finding the Fourth Proportional to 257,198.61, 354,930.23 and 142,476.90

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Solution

The fourth proportional to 257,198.61, 354,930.23 and 142,476.90 is: 196,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,198.61 : 354,930.23 = 142,476.90 : x
  2. Step 2: Convert to fraction form
    257,198.61/354,930.23 = 142,476.90/x
  3. Step 3: Cross multiply
    257,198.61x = 354,930.23 × 142,476.90
  4. Step 4: Simplify right side
    257,198.61x = 50,569,358,174.30
  5. Step 5: Solve for x
    x = 50,569,358,174.30/257,198.61
  6. Step 6: Final answer
    x = 196,615.99

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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.