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Finding the Fourth Proportional to 668,379.76, 1,002,169.02 and 212,774.20

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Solution

The fourth proportional to 668,379.76, 1,002,169.02 and 212,774.20 is: 319,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,379.76 : 1,002,169.02 = 212,774.20 : x
  2. Step 2: Convert to fraction form
    668,379.76/1,002,169.02 = 212,774.20/x
  3. Step 3: Cross multiply
    668,379.76x = 1,002,169.02 × 212,774.20
  4. Step 4: Simplify right side
    668,379.76x = 213,235,711,495.28
  5. Step 5: Solve for x
    x = 213,235,711,495.28/668,379.76
  6. Step 6: Final answer
    x = 319,033.77

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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.