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Finding the Fourth Proportional to 689,883, 1,034,991.11 and 216,568.36

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Solution

The fourth proportional to 689,883, 1,034,991.11 and 216,568.36 is: 324,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,883 : 1,034,991.11 = 216,568.36 : x
  2. Step 2: Convert to fraction form
    689,883/1,034,991.11 = 216,568.36/x
  3. Step 3: Cross multiply
    689,883x = 1,034,991.11 × 216,568.36
  4. Step 4: Simplify right side
    689,883x = 224,146,327,307.28
  5. Step 5: Solve for x
    x = 224,146,327,307.28/689,883
  6. Step 6: Final answer
    x = 324,904.84

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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.