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Finding the Fourth Proportional to 305,220, 421,183.02 and 169,248.95

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Solution

The fourth proportional to 305,220, 421,183.02 and 169,248.95 is: 233,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,220 : 421,183.02 = 169,248.95 : x
  2. Step 2: Convert to fraction form
    305,220/421,183.02 = 169,248.95/x
  3. Step 3: Cross multiply
    305,220x = 421,183.02 × 169,248.95
  4. Step 4: Simplify right side
    305,220x = 71,284,783,892.83
  5. Step 5: Solve for x
    x = 71,284,783,892.83/305,220
  6. Step 6: Final answer
    x = 233,552.14

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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.