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Finding the Fourth Proportional to 299,487.83, 413,309.96 and 163,534.43

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Solution

The fourth proportional to 299,487.83, 413,309.96 and 163,534.43 is: 225,686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,487.83 : 413,309.96 = 163,534.43 : x
  2. Step 2: Convert to fraction form
    299,487.83/413,309.96 = 163,534.43/x
  3. Step 3: Cross multiply
    299,487.83x = 413,309.96 × 163,534.43
  4. Step 4: Simplify right side
    299,487.83x = 67,590,405,837.70
  5. Step 5: Solve for x
    x = 67,590,405,837.70/299,487.83
  6. Step 6: Final answer
    x = 225,686.66

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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.