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Finding the Fourth Proportional to 299,887.89, 413,833.85 and 163,920.68

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Solution

The fourth proportional to 299,887.89, 413,833.85 and 163,920.68 is: 226,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,887.89 : 413,833.85 = 163,920.68 : x
  2. Step 2: Convert to fraction form
    299,887.89/413,833.85 = 163,920.68/x
  3. Step 3: Cross multiply
    299,887.89x = 413,833.85 × 163,920.68
  4. Step 4: Simplify right side
    299,887.89x = 67,835,923,210.25
  5. Step 5: Solve for x
    x = 67,835,923,210.25/299,887.89
  6. Step 6: Final answer
    x = 226,204.28

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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.