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Finding the Fourth Proportional to 259,578, 358,217.64 and 140,346

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Solution

The fourth proportional to 259,578, 358,217.64 and 140,346 is: 193,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,578 : 358,217.64 = 140,346 : x
  2. Step 2: Convert to fraction form
    259,578/358,217.64 = 140,346/x
  3. Step 3: Cross multiply
    259,578x = 358,217.64 × 140,346
  4. Step 4: Simplify right side
    259,578x = 50,274,412,903.44
  5. Step 5: Solve for x
    x = 50,274,412,903.44/259,578
  6. Step 6: Final answer
    x = 193,677.48

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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.