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Finding the Fourth Proportional to 299,900.16, 413,856.64 and 165,761.28

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Solution

The fourth proportional to 299,900.16, 413,856.64 and 165,761.28 is: 228,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,900.16 : 413,856.64 = 165,761.28 : x
  2. Step 2: Convert to fraction form
    299,900.16/413,856.64 = 165,761.28/x
  3. Step 3: Cross multiply
    299,900.16x = 413,856.64 × 165,761.28
  4. Step 4: Simplify right side
    299,900.16x = 68,601,406,382.90
  5. Step 5: Solve for x
    x = 68,601,406,382.90/299,900.16
  6. Step 6: Final answer
    x = 228,747.48

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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.