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Finding the Fourth Proportional to 283,331.84, 391,002.81 and 154,274

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Solution

The fourth proportional to 283,331.84, 391,002.81 and 154,274 is: 212,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,331.84 : 391,002.81 = 154,274 : x
  2. Step 2: Convert to fraction form
    283,331.84/391,002.81 = 154,274/x
  3. Step 3: Cross multiply
    283,331.84x = 391,002.81 × 154,274
  4. Step 4: Simplify right side
    283,331.84x = 60,321,567,509.94
  5. Step 5: Solve for x
    x = 60,321,567,509.94/283,331.84
  6. Step 6: Final answer
    x = 212,900.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.