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Finding the Fourth Proportional to 268,251.40, 402,378 and 99,808.84

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Solution

The fourth proportional to 268,251.40, 402,378 and 99,808.84 is: 149,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,251.40 : 402,378 = 99,808.84 : x
  2. Step 2: Convert to fraction form
    268,251.40/402,378 = 99,808.84/x
  3. Step 3: Cross multiply
    268,251.40x = 402,378 × 99,808.84
  4. Step 4: Simplify right side
    268,251.40x = 40,160,881,421.52
  5. Step 5: Solve for x
    x = 40,160,881,421.52/268,251.40
  6. Step 6: Final answer
    x = 149,713.59

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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.