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Finding the Fourth Proportional to 461,202.20, 691,572.90 and 211,602.20

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Solution

The fourth proportional to 461,202.20, 691,572.90 and 211,602.20 is: 317,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,202.20 : 691,572.90 = 211,602.20 : x
  2. Step 2: Convert to fraction form
    461,202.20/691,572.90 = 211,602.20/x
  3. Step 3: Cross multiply
    461,202.20x = 691,572.90 × 211,602.20
  4. Step 4: Simplify right side
    461,202.20x = 146,338,347,100.38
  5. Step 5: Solve for x
    x = 146,338,347,100.38/461,202.20
  6. Step 6: Final answer
    x = 317,297.59

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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.