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Finding the Fourth Proportional to 305,127.99, 421,086.86 and 169,153.82

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Solution

The fourth proportional to 305,127.99, 421,086.86 and 169,153.82 is: 233,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,127.99 : 421,086.86 = 169,153.82 : x
  2. Step 2: Convert to fraction form
    305,127.99/421,086.86 = 169,153.82/x
  3. Step 3: Cross multiply
    305,127.99x = 421,086.86 × 169,153.82
  4. Step 4: Simplify right side
    305,127.99x = 71,228,450,920.81
  5. Step 5: Solve for x
    x = 71,228,450,920.81/305,127.99
  6. Step 6: Final answer
    x = 233,437.94

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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.