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Finding the Fourth Proportional to 299,930.76, 413,897.40 and 163,965.72

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Solution

The fourth proportional to 299,930.76, 413,897.40 and 163,965.72 is: 226,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,930.76 : 413,897.40 = 163,965.72 : x
  2. Step 2: Convert to fraction form
    299,930.76/413,897.40 = 163,965.72/x
  3. Step 3: Cross multiply
    299,930.76x = 413,897.40 × 163,965.72
  4. Step 4: Simplify right side
    299,930.76x = 67,864,985,197.13
  5. Step 5: Solve for x
    x = 67,864,985,197.13/299,930.76
  6. Step 6: Final answer
    x = 226,268.84

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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.