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Finding the Fourth Proportional to 257,405.44, 355,229.12 and 144,224

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Solution

The fourth proportional to 257,405.44, 355,229.12 and 144,224 is: 199,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,405.44 : 355,229.12 = 144,224 : x
  2. Step 2: Convert to fraction form
    257,405.44/355,229.12 = 144,224/x
  3. Step 3: Cross multiply
    257,405.44x = 355,229.12 × 144,224
  4. Step 4: Simplify right side
    257,405.44x = 51,232,564,602.88
  5. Step 5: Solve for x
    x = 51,232,564,602.88/257,405.44
  6. Step 6: Final answer
    x = 199,034.51

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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.