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Finding the Fourth Proportional to 299,646, 413,512.88 and 163,681.83

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Solution

The fourth proportional to 299,646, 413,512.88 and 163,681.83 is: 225,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,646 : 413,512.88 = 163,681.83 : x
  2. Step 2: Convert to fraction form
    299,646/413,512.88 = 163,681.83/x
  3. Step 3: Cross multiply
    299,646x = 413,512.88 × 163,681.83
  4. Step 4: Simplify right side
    299,646x = 67,684,544,926.97
  5. Step 5: Solve for x
    x = 67,684,544,926.97/299,646
  6. Step 6: Final answer
    x = 225,881.69

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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.