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Finding the Fourth Proportional to 299,822.80, 413,755.20 and 165,686.80

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Solution

The fourth proportional to 299,822.80, 413,755.20 and 165,686.80 is: 228,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,822.80 : 413,755.20 = 165,686.80 : x
  2. Step 2: Convert to fraction form
    299,822.80/413,755.20 = 165,686.80/x
  3. Step 3: Cross multiply
    299,822.80x = 413,755.20 × 165,686.80
  4. Step 4: Simplify right side
    299,822.80x = 68,553,775,071.36
  5. Step 5: Solve for x
    x = 68,553,775,071.36/299,822.80
  6. Step 6: Final answer
    x = 228,647.64

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1.5x scale

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.