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Finding the Fourth Proportional to 259,563, 358,197.02 and 140,331

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Solution

The fourth proportional to 259,563, 358,197.02 and 140,331 is: 193,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,563 : 358,197.02 = 140,331 : x
  2. Step 2: Convert to fraction form
    259,563/358,197.02 = 140,331/x
  3. Step 3: Cross multiply
    259,563x = 358,197.02 × 140,331
  4. Step 4: Simplify right side
    259,563x = 50,266,146,013.62
  5. Step 5: Solve for x
    x = 50,266,146,013.62/259,563
  6. Step 6: Final answer
    x = 193,656.82

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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.