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Finding the Fourth Proportional to 787,992, 1,181,988 and 197,016

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Solution

The fourth proportional to 787,992, 1,181,988 and 197,016 is: 295,524

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,992 : 1,181,988 = 197,016 : x
  2. Step 2: Convert to fraction form
    787,992/1,181,988 = 197,016/x
  3. Step 3: Cross multiply
    787,992x = 1,181,988 × 197,016
  4. Step 4: Simplify right side
    787,992x = 232,870,547,808
  5. Step 5: Solve for x
    x = 232,870,547,808/787,992
  6. Step 6: Final answer
    x = 295,524

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.