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Finding the Fourth Proportional to 268,398, 402,599.43 and 81,409.50

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Solution

The fourth proportional to 268,398, 402,599.43 and 81,409.50 is: 122,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,398 : 402,599.43 = 81,409.50 : x
  2. Step 2: Convert to fraction form
    268,398/402,599.43 = 81,409.50/x
  3. Step 3: Cross multiply
    268,398x = 402,599.43 × 81,409.50
  4. Step 4: Simplify right side
    268,398x = 32,775,418,296.59
  5. Step 5: Solve for x
    x = 32,775,418,296.59/268,398
  6. Step 6: Final answer
    x = 122,114.99

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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.