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Finding the Fourth Proportional to 666,126.72, 999,202.41 and 216,846

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Solution

The fourth proportional to 666,126.72, 999,202.41 and 216,846 is: 325,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,126.72 : 999,202.41 = 216,846 : x
  2. Step 2: Convert to fraction form
    666,126.72/999,202.41 = 216,846/x
  3. Step 3: Cross multiply
    666,126.72x = 999,202.41 × 216,846
  4. Step 4: Simplify right side
    666,126.72x = 216,673,045,798.86
  5. Step 5: Solve for x
    x = 216,673,045,798.86/666,126.72
  6. Step 6: Final answer
    x = 325,273.01

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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.