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Finding the Fourth Proportional to 357,265.52, 535,076.76 and 199,143.80

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Solution

The fourth proportional to 357,265.52, 535,076.76 and 199,143.80 is: 298,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,265.52 : 535,076.76 = 199,143.80 : x
  2. Step 2: Convert to fraction form
    357,265.52/535,076.76 = 199,143.80/x
  3. Step 3: Cross multiply
    357,265.52x = 535,076.76 × 199,143.80
  4. Step 4: Simplify right side
    357,265.52x = 106,557,219,278.09
  5. Step 5: Solve for x
    x = 106,557,219,278.09/357,265.52
  6. Step 6: Final answer
    x = 298,257.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.