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Finding the Fourth Proportional to 268,369.40, 402,620.02 and 133,497.11

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Solution

The fourth proportional to 268,369.40, 402,620.02 and 133,497.11 is: 200,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,369.40 : 402,620.02 = 133,497.11 : x
  2. Step 2: Convert to fraction form
    268,369.40/402,620.02 = 133,497.11/x
  3. Step 3: Cross multiply
    268,369.40x = 402,620.02 × 133,497.11
  4. Step 4: Simplify right side
    268,369.40x = 53,748,609,770.95
  5. Step 5: Solve for x
    x = 53,748,609,770.95/268,369.40
  6. Step 6: Final answer
    x = 200,278.46

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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.