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Finding the Fourth Proportional to 650,642, 897,906.30 and 364,161.56

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Solution

The fourth proportional to 650,642, 897,906.30 and 364,161.56 is: 502,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,642 : 897,906.30 = 364,161.56 : x
  2. Step 2: Convert to fraction form
    650,642/897,906.30 = 364,161.56/x
  3. Step 3: Cross multiply
    650,642x = 897,906.30 × 364,161.56
  4. Step 4: Simplify right side
    650,642x = 326,982,958,941.83
  5. Step 5: Solve for x
    x = 326,982,958,941.83/650,642
  6. Step 6: Final answer
    x = 502,554.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.