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Finding the Fourth Proportional to 259,832, 358,569.12 and 140,600

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Solution

The fourth proportional to 259,832, 358,569.12 and 140,600 is: 194,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,832 : 358,569.12 = 140,600 : x
  2. Step 2: Convert to fraction form
    259,832/358,569.12 = 140,600/x
  3. Step 3: Cross multiply
    259,832x = 358,569.12 × 140,600
  4. Step 4: Simplify right side
    259,832x = 50,414,818,272
  5. Step 5: Solve for x
    x = 50,414,818,272/259,832
  6. Step 6: Final answer
    x = 194,028.52

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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.