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Finding the Fourth Proportional to 299,897.12, 413,858.01 and 163,931.64

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Solution

The fourth proportional to 299,897.12, 413,858.01 and 163,931.64 is: 226,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,897.12 : 413,858.01 = 163,931.64 : x
  2. Step 2: Convert to fraction form
    299,897.12/413,858.01 = 163,931.64/x
  3. Step 3: Cross multiply
    299,897.12x = 413,858.01 × 163,931.64
  4. Step 4: Simplify right side
    299,897.12x = 67,844,422,306.44
  5. Step 5: Solve for x
    x = 67,844,422,306.44/299,897.12
  6. Step 6: Final answer
    x = 226,225.65

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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.