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Finding the Fourth Proportional to 257,452.92, 355,293.66 and 142,724.72

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Solution

The fourth proportional to 257,452.92, 355,293.66 and 142,724.72 is: 196,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,452.92 : 355,293.66 = 142,724.72 : x
  2. Step 2: Convert to fraction form
    257,452.92/355,293.66 = 142,724.72/x
  3. Step 3: Cross multiply
    257,452.92x = 355,293.66 × 142,724.72
  4. Step 4: Simplify right side
    257,452.92x = 50,709,188,141.28
  5. Step 5: Solve for x
    x = 50,709,188,141.28/257,452.92
  6. Step 6: Final answer
    x = 196,964.90

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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.