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Finding the Fourth Proportional to 299,379.64, 413,147.76 and 163,417.49

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Solution

The fourth proportional to 299,379.64, 413,147.76 and 163,417.49 is: 225,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,379.64 : 413,147.76 = 163,417.49 : x
  2. Step 2: Convert to fraction form
    299,379.64/413,147.76 = 163,417.49/x
  3. Step 3: Cross multiply
    299,379.64x = 413,147.76 × 163,417.49
  4. Step 4: Simplify right side
    299,379.64x = 67,515,569,121.24
  5. Step 5: Solve for x
    x = 67,515,569,121.24/299,379.64
  6. Step 6: Final answer
    x = 225,518.24

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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.