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Finding the Fourth Proportional to 268,776, 403,222.29 and 81,782.64

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Solution

The fourth proportional to 268,776, 403,222.29 and 81,782.64 is: 122,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,776 : 403,222.29 = 81,782.64 : x
  2. Step 2: Convert to fraction form
    268,776/403,222.29 = 81,782.64/x
  3. Step 3: Cross multiply
    268,776x = 403,222.29 × 81,782.64
  4. Step 4: Simplify right side
    268,776x = 32,976,583,383.05
  5. Step 5: Solve for x
    x = 32,976,583,383.05/268,776
  6. Step 6: Final answer
    x = 122,691.70

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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.