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Finding the Fourth Proportional to 259,618, 358,272.86 and 140,386

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Solution

The fourth proportional to 259,618, 358,272.86 and 140,386 is: 193,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,618 : 358,272.86 = 140,386 : x
  2. Step 2: Convert to fraction form
    259,618/358,272.86 = 140,386/x
  3. Step 3: Cross multiply
    259,618x = 358,272.86 × 140,386
  4. Step 4: Simplify right side
    259,618x = 50,296,493,723.96
  5. Step 5: Solve for x
    x = 50,296,493,723.96/259,618
  6. Step 6: Final answer
    x = 193,732.69

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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.