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Finding the Fourth Proportional to 299,796, 413,718.48 and 165,680.16

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Solution

The fourth proportional to 299,796, 413,718.48 and 165,680.16 is: 228,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,796 : 413,718.48 = 165,680.16 : x
  2. Step 2: Convert to fraction form
    299,796/413,718.48 = 165,680.16/x
  3. Step 3: Cross multiply
    299,796x = 413,718.48 × 165,680.16
  4. Step 4: Simplify right side
    299,796x = 68,544,943,961.36
  5. Step 5: Solve for x
    x = 68,544,943,961.36/299,796
  6. Step 6: Final answer
    x = 228,638.62

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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.