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Finding the Fourth Proportional to 257,195.98, 354,926.62 and 142,474.28

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Solution

The fourth proportional to 257,195.98, 354,926.62 and 142,474.28 is: 196,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,195.98 : 354,926.62 = 142,474.28 : x
  2. Step 2: Convert to fraction form
    257,195.98/354,926.62 = 142,474.28/x
  3. Step 3: Cross multiply
    257,195.98x = 354,926.62 × 142,474.28
  4. Step 4: Simplify right side
    257,195.98x = 50,567,912,239.38
  5. Step 5: Solve for x
    x = 50,567,912,239.38/257,195.98
  6. Step 6: Final answer
    x = 196,612.38

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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.