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Finding the Fourth Proportional to 492,200.80, 738,646.80 and 211,919.20

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Solution

The fourth proportional to 492,200.80, 738,646.80 and 211,919.20 is: 318,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,200.80 : 738,646.80 = 211,919.20 : x
  2. Step 2: Convert to fraction form
    492,200.80/738,646.80 = 211,919.20/x
  3. Step 3: Cross multiply
    492,200.80x = 738,646.80 × 211,919.20
  4. Step 4: Simplify right side
    492,200.80x = 156,533,438,938.56
  5. Step 5: Solve for x
    x = 156,533,438,938.56/492,200.80
  6. Step 6: Final answer
    x = 318,027.60

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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.