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Finding the Fourth Proportional to 257,194.46, 354,920.32 and 142,468.50

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Solution

The fourth proportional to 257,194.46, 354,920.32 and 142,468.50 is: 196,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,194.46 : 354,920.32 = 142,468.50 : x
  2. Step 2: Convert to fraction form
    257,194.46/354,920.32 = 142,468.50/x
  3. Step 3: Cross multiply
    257,194.46x = 354,920.32 × 142,468.50
  4. Step 4: Simplify right side
    257,194.46x = 50,564,965,609.92
  5. Step 5: Solve for x
    x = 50,564,965,609.92/257,194.46
  6. Step 6: Final answer
    x = 196,602.08

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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.