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Finding the Fourth Proportional to 448,585.97, 619,144.70 and 257,704.61

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Solution

The fourth proportional to 448,585.97, 619,144.70 and 257,704.61 is: 355,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,585.97 : 619,144.70 = 257,704.61 : x
  2. Step 2: Convert to fraction form
    448,585.97/619,144.70 = 257,704.61/x
  3. Step 3: Cross multiply
    448,585.97x = 619,144.70 × 257,704.61
  4. Step 4: Simplify right side
    448,585.97x = 159,556,439,062.82
  5. Step 5: Solve for x
    x = 159,556,439,062.82/448,585.97
  6. Step 6: Final answer
    x = 355,687.54

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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.