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Finding the Fourth Proportional to 884,839, 1,327,263.54 and 219,991

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Solution

The fourth proportional to 884,839, 1,327,263.54 and 219,991 is: 329,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,839 : 1,327,263.54 = 219,991 : x
  2. Step 2: Convert to fraction form
    884,839/1,327,263.54 = 219,991/x
  3. Step 3: Cross multiply
    884,839x = 1,327,263.54 × 219,991
  4. Step 4: Simplify right side
    884,839x = 291,986,033,428.14
  5. Step 5: Solve for x
    x = 291,986,033,428.14/884,839
  6. Step 6: Final answer
    x = 329,987.75

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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.