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Finding the Fourth Proportional to 311,029.20, 466,543.80 and 211,496.40

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Solution

The fourth proportional to 311,029.20, 466,543.80 and 211,496.40 is: 317,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,029.20 : 466,543.80 = 211,496.40 : x
  2. Step 2: Convert to fraction form
    311,029.20/466,543.80 = 211,496.40/x
  3. Step 3: Cross multiply
    311,029.20x = 466,543.80 × 211,496.40
  4. Step 4: Simplify right side
    311,029.20x = 98,672,334,142.32
  5. Step 5: Solve for x
    x = 98,672,334,142.32/311,029.20
  6. Step 6: Final answer
    x = 317,244.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.