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Finding the Fourth Proportional to 305,125.99, 421,084.10 and 169,151.82

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Solution

The fourth proportional to 305,125.99, 421,084.10 and 169,151.82 is: 233,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,125.99 : 421,084.10 = 169,151.82 : x
  2. Step 2: Convert to fraction form
    305,125.99/421,084.10 = 169,151.82/x
  3. Step 3: Cross multiply
    305,125.99x = 421,084.10 × 169,151.82
  4. Step 4: Simplify right side
    305,125.99x = 71,227,140,731.88
  5. Step 5: Solve for x
    x = 71,227,140,731.88/305,125.99
  6. Step 6: Final answer
    x = 233,435.18

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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.