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Finding the Fourth Proportional to 305,153.73, 421,110.14 and 169,187.72

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Solution

The fourth proportional to 305,153.73, 421,110.14 and 169,187.72 is: 233,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,153.73 : 421,110.14 = 169,187.72 : x
  2. Step 2: Convert to fraction form
    305,153.73/421,110.14 = 169,187.72/x
  3. Step 3: Cross multiply
    305,153.73x = 421,110.14 × 169,187.72
  4. Step 4: Simplify right side
    305,153.73x = 71,246,661,503.99
  5. Step 5: Solve for x
    x = 71,246,661,503.99/305,153.73
  6. Step 6: Final answer
    x = 233,477.93

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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.