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Finding the Fourth Proportional to 257,438.44, 355,274.70 and 144,257

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Solution

The fourth proportional to 257,438.44, 355,274.70 and 144,257 is: 199,080.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,438.44 : 355,274.70 = 144,257 : x
  2. Step 2: Convert to fraction form
    257,438.44/355,274.70 = 144,257/x
  3. Step 3: Cross multiply
    257,438.44x = 355,274.70 × 144,257
  4. Step 4: Simplify right side
    257,438.44x = 51,250,862,397.90
  5. Step 5: Solve for x
    x = 51,250,862,397.90/257,438.44
  6. Step 6: Final answer
    x = 199,080.07

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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.