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Finding the Fourth Proportional to 660,678.83, 991,083.65 and 211,286.78

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Solution

The fourth proportional to 660,678.83, 991,083.65 and 211,286.78 is: 316,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,678.83 : 991,083.65 = 211,286.78 : x
  2. Step 2: Convert to fraction form
    660,678.83/991,083.65 = 211,286.78/x
  3. Step 3: Cross multiply
    660,678.83x = 991,083.65 × 211,286.78
  4. Step 4: Simplify right side
    660,678.83x = 209,402,867,107.30
  5. Step 5: Solve for x
    x = 209,402,867,107.30/660,678.83
  6. Step 6: Final answer
    x = 316,951.08

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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.