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Finding the Fourth Proportional to 311,293.40, 466,997.70 and 100,938.20

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Solution

The fourth proportional to 311,293.40, 466,997.70 and 100,938.20 is: 151,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,293.40 : 466,997.70 = 100,938.20 : x
  2. Step 2: Convert to fraction form
    311,293.40/466,997.70 = 100,938.20/x
  3. Step 3: Cross multiply
    311,293.40x = 466,997.70 × 100,938.20
  4. Step 4: Simplify right side
    311,293.40x = 47,137,907,242.14
  5. Step 5: Solve for x
    x = 47,137,907,242.14/311,293.40
  6. Step 6: Final answer
    x = 151,425.98

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1.5x scale

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.