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Finding the Fourth Proportional to 268,458.84, 402,678.95 and 68,780.88

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Solution

The fourth proportional to 268,458.84, 402,678.95 and 68,780.88 is: 103,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,458.84 : 402,678.95 = 68,780.88 : x
  2. Step 2: Convert to fraction form
    268,458.84/402,678.95 = 68,780.88/x
  3. Step 3: Cross multiply
    268,458.84x = 402,678.95 × 68,780.88
  4. Step 4: Simplify right side
    268,458.84x = 27,696,612,194.57
  5. Step 5: Solve for x
    x = 27,696,612,194.57/268,458.84
  6. Step 6: Final answer
    x = 103,168.93

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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.