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Finding the Fourth Proportional to 650,013.31, 896,991.87 and 378,089.02

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Solution

The fourth proportional to 650,013.31, 896,991.87 and 378,089.02 is: 521,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,013.31 : 896,991.87 = 378,089.02 : x
  2. Step 2: Convert to fraction form
    650,013.31/896,991.87 = 378,089.02/x
  3. Step 3: Cross multiply
    650,013.31x = 896,991.87 × 378,089.02
  4. Step 4: Simplify right side
    650,013.31x = 339,142,777,076.27
  5. Step 5: Solve for x
    x = 339,142,777,076.27/650,013.31
  6. Step 6: Final answer
    x = 521,747.43

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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.