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Finding the Fourth Proportional to 259,850, 358,593 and 140,618

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Solution

The fourth proportional to 259,850, 358,593 and 140,618 is: 194,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,850 : 358,593 = 140,618 : x
  2. Step 2: Convert to fraction form
    259,850/358,593 = 140,618/x
  3. Step 3: Cross multiply
    259,850x = 358,593 × 140,618
  4. Step 4: Simplify right side
    259,850x = 50,424,630,474
  5. Step 5: Solve for x
    x = 50,424,630,474/259,850
  6. Step 6: Final answer
    x = 194,052.84

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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.