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Finding the Fourth Proportional to 268,378.34, 402,541.59 and 81,391.46

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Solution

The fourth proportional to 268,378.34, 402,541.59 and 81,391.46 is: 122,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,378.34 : 402,541.59 = 81,391.46 : x
  2. Step 2: Convert to fraction form
    268,378.34/402,541.59 = 81,391.46/x
  3. Step 3: Cross multiply
    268,378.34x = 402,541.59 × 81,391.46
  4. Step 4: Simplify right side
    268,378.34x = 32,763,447,720.82
  5. Step 5: Solve for x
    x = 32,763,447,720.82/268,378.34
  6. Step 6: Final answer
    x = 122,079.33

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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.