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Finding the Fourth Proportional to 711,218, 1,066,827 and 185,906

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Solution

The fourth proportional to 711,218, 1,066,827 and 185,906 is: 278,859

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,218 : 1,066,827 = 185,906 : x
  2. Step 2: Convert to fraction form
    711,218/1,066,827 = 185,906/x
  3. Step 3: Cross multiply
    711,218x = 1,066,827 × 185,906
  4. Step 4: Simplify right side
    711,218x = 198,329,540,262
  5. Step 5: Solve for x
    x = 198,329,540,262/711,218
  6. Step 6: Final answer
    x = 278,859

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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.