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Finding the Fourth Proportional to 257,217, 354,959.64 and 144,042.36

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Solution

The fourth proportional to 257,217, 354,959.64 and 144,042.36 is: 198,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,217 : 354,959.64 = 144,042.36 : x
  2. Step 2: Convert to fraction form
    257,217/354,959.64 = 144,042.36/x
  3. Step 3: Cross multiply
    257,217x = 354,959.64 × 144,042.36
  4. Step 4: Simplify right side
    257,217x = 51,129,224,250.35
  5. Step 5: Solve for x
    x = 51,129,224,250.35/257,217
  6. Step 6: Final answer
    x = 198,778.56

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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.