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Finding the Fourth Proportional to 465,834.88, 642,816.72 and 261,853.36

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Solution

The fourth proportional to 465,834.88, 642,816.72 and 261,853.36 is: 361,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,834.88 : 642,816.72 = 261,853.36 : x
  2. Step 2: Convert to fraction form
    465,834.88/642,816.72 = 261,853.36/x
  3. Step 3: Cross multiply
    465,834.88x = 642,816.72 × 261,853.36
  4. Step 4: Simplify right side
    465,834.88x = 168,323,717,996.18
  5. Step 5: Solve for x
    x = 168,323,717,996.18/465,834.88
  6. Step 6: Final answer
    x = 361,337.73

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