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Finding the Fourth Proportional to 301,688.43, 416,309.49 and 165,728.10

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Solution

The fourth proportional to 301,688.43, 416,309.49 and 165,728.10 is: 228,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,688.43 : 416,309.49 = 165,728.10 : x
  2. Step 2: Convert to fraction form
    301,688.43/416,309.49 = 165,728.10/x
  3. Step 3: Cross multiply
    301,688.43x = 416,309.49 × 165,728.10
  4. Step 4: Simplify right side
    301,688.43x = 68,994,180,789.67
  5. Step 5: Solve for x
    x = 68,994,180,789.67/301,688.43
  6. Step 6: Final answer
    x = 228,693.49

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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.