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Finding the Fourth Proportional to 257,520.25, 355,388.88 and 144,343

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Solution

The fourth proportional to 257,520.25, 355,388.88 and 144,343 is: 199,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,520.25 : 355,388.88 = 144,343 : x
  2. Step 2: Convert to fraction form
    257,520.25/355,388.88 = 144,343/x
  3. Step 3: Cross multiply
    257,520.25x = 355,388.88 × 144,343
  4. Step 4: Simplify right side
    257,520.25x = 51,297,897,105.84
  5. Step 5: Solve for x
    x = 51,297,897,105.84/257,520.25
  6. Step 6: Final answer
    x = 199,199.47

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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.