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Finding the Fourth Proportional to 311,431.40, 466,974.30 and 124,231.40

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Solution

The fourth proportional to 311,431.40, 466,974.30 and 124,231.40 is: 186,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,431.40 : 466,974.30 = 124,231.40 : x
  2. Step 2: Convert to fraction form
    311,431.40/466,974.30 = 124,231.40/x
  3. Step 3: Cross multiply
    311,431.40x = 466,974.30 × 124,231.40
  4. Step 4: Simplify right side
    311,431.40x = 58,012,871,053.02
  5. Step 5: Solve for x
    x = 58,012,871,053.02/311,431.40
  6. Step 6: Final answer
    x = 186,278.17

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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.