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Finding the Fourth Proportional to 511,648.20, 767,632.68 and 212,270.04

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Solution

The fourth proportional to 511,648.20, 767,632.68 and 212,270.04 is: 318,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,648.20 : 767,632.68 = 212,270.04 : x
  2. Step 2: Convert to fraction form
    511,648.20/767,632.68 = 212,270.04/x
  3. Step 3: Cross multiply
    511,648.20x = 767,632.68 × 212,270.04
  4. Step 4: Simplify right side
    511,648.20x = 162,945,419,688.91
  5. Step 5: Solve for x
    x = 162,945,419,688.91/511,648.20
  6. Step 6: Final answer
    x = 318,471.60

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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.