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Finding the Fourth Proportional to 257,221.92, 354,981 and 144,043.68

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Solution

The fourth proportional to 257,221.92, 354,981 and 144,043.68 is: 198,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,221.92 : 354,981 = 144,043.68 : x
  2. Step 2: Convert to fraction form
    257,221.92/354,981 = 144,043.68/x
  3. Step 3: Cross multiply
    257,221.92x = 354,981 × 144,043.68
  4. Step 4: Simplify right side
    257,221.92x = 51,132,769,570.08
  5. Step 5: Solve for x
    x = 51,132,769,570.08/257,221.92
  6. Step 6: Final answer
    x = 198,788.54

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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.