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Finding the Fourth Proportional to 399,822.99, 551,398.59 and 331,732.16

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Solution

The fourth proportional to 399,822.99, 551,398.59 and 331,732.16 is: 457,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,822.99 : 551,398.59 = 331,732.16 : x
  2. Step 2: Convert to fraction form
    399,822.99/551,398.59 = 331,732.16/x
  3. Step 3: Cross multiply
    399,822.99x = 551,398.59 × 331,732.16
  4. Step 4: Simplify right side
    399,822.99x = 182,916,644,592.41
  5. Step 5: Solve for x
    x = 182,916,644,592.41/399,822.99
  6. Step 6: Final answer
    x = 457,494.07

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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.