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Finding the Fourth Proportional to 257,212.08, 354,942.72 and 144,029.04

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Solution

The fourth proportional to 257,212.08, 354,942.72 and 144,029.04 is: 198,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,212.08 : 354,942.72 = 144,029.04 : x
  2. Step 2: Convert to fraction form
    257,212.08/354,942.72 = 144,029.04/x
  3. Step 3: Cross multiply
    257,212.08x = 354,942.72 × 144,029.04
  4. Step 4: Simplify right side
    257,212.08x = 51,122,059,216.59
  5. Step 5: Solve for x
    x = 51,122,059,216.59/257,212.08
  6. Step 6: Final answer
    x = 198,754.50

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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.