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Finding the Fourth Proportional to 412,523.82, 618,962.21 and 172,693.76

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Solution

The fourth proportional to 412,523.82, 618,962.21 and 172,693.76 is: 259,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,523.82 : 618,962.21 = 172,693.76 : x
  2. Step 2: Convert to fraction form
    412,523.82/618,962.21 = 172,693.76/x
  3. Step 3: Cross multiply
    412,523.82x = 618,962.21 × 172,693.76
  4. Step 4: Simplify right side
    412,523.82x = 106,890,908,032.13
  5. Step 5: Solve for x
    x = 106,890,908,032.13/412,523.82
  6. Step 6: Final answer
    x = 259,114.51

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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.