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Finding the Fourth Proportional to 635,324.50, 876,944.64 and 408,970

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Solution

The fourth proportional to 635,324.50, 876,944.64 and 408,970 is: 564,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,324.50 : 876,944.64 = 408,970 : x
  2. Step 2: Convert to fraction form
    635,324.50/876,944.64 = 408,970/x
  3. Step 3: Cross multiply
    635,324.50x = 876,944.64 × 408,970
  4. Step 4: Simplify right side
    635,324.50x = 358,644,049,420.80
  5. Step 5: Solve for x
    x = 358,644,049,420.80/635,324.50
  6. Step 6: Final answer
    x = 564,505.30

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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.