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Finding the Fourth Proportional to 666,415.85, 999,774.16 and 211,034.72

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Solution

The fourth proportional to 666,415.85, 999,774.16 and 211,034.72 is: 316,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,415.85 : 999,774.16 = 211,034.72 : x
  2. Step 2: Convert to fraction form
    666,415.85/999,774.16 = 211,034.72/x
  3. Step 3: Cross multiply
    666,415.85x = 999,774.16 × 211,034.72
  4. Step 4: Simplify right side
    666,415.85x = 210,987,061,890.68
  5. Step 5: Solve for x
    x = 210,987,061,890.68/666,415.85
  6. Step 6: Final answer
    x = 316,599.71

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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.