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Finding the Fourth Proportional to 311,178.40, 466,825.20 and 100,823.20

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Solution

The fourth proportional to 311,178.40, 466,825.20 and 100,823.20 is: 151,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,178.40 : 466,825.20 = 100,823.20 : x
  2. Step 2: Convert to fraction form
    311,178.40/466,825.20 = 100,823.20/x
  3. Step 3: Cross multiply
    311,178.40x = 466,825.20 × 100,823.20
  4. Step 4: Simplify right side
    311,178.40x = 47,066,810,504.64
  5. Step 5: Solve for x
    x = 47,066,810,504.64/311,178.40
  6. Step 6: Final answer
    x = 151,253.46

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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.