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Finding the Fourth Proportional to 305,991, 422,307.18 and 171,855

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Solution

The fourth proportional to 305,991, 422,307.18 and 171,855 is: 237,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,991 : 422,307.18 = 171,855 : x
  2. Step 2: Convert to fraction form
    305,991/422,307.18 = 171,855/x
  3. Step 3: Cross multiply
    305,991x = 422,307.18 × 171,855
  4. Step 4: Simplify right side
    305,991x = 72,575,600,418.90
  5. Step 5: Solve for x
    x = 72,575,600,418.90/305,991
  6. Step 6: Final answer
    x = 237,182.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.