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Finding the Fourth Proportional to 698,757.21, 964,262.45 and 392,846.45

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Solution

The fourth proportional to 698,757.21, 964,262.45 and 392,846.45 is: 542,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,757.21 : 964,262.45 = 392,846.45 : x
  2. Step 2: Convert to fraction form
    698,757.21/964,262.45 = 392,846.45/x
  3. Step 3: Cross multiply
    698,757.21x = 964,262.45 × 392,846.45
  4. Step 4: Simplify right side
    698,757.21x = 378,807,073,565.26
  5. Step 5: Solve for x
    x = 378,807,073,565.26/698,757.21
  6. Step 6: Final answer
    x = 542,115.44

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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.