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Finding the Fourth Proportional to 305,571.84, 421,682.78 and 169,597.81

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Solution

The fourth proportional to 305,571.84, 421,682.78 and 169,597.81 is: 234,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,571.84 : 421,682.78 = 169,597.81 : x
  2. Step 2: Convert to fraction form
    305,571.84/421,682.78 = 169,597.81/x
  3. Step 3: Cross multiply
    305,571.84x = 421,682.78 × 169,597.81
  4. Step 4: Simplify right side
    305,571.84x = 71,516,476,002.71
  5. Step 5: Solve for x
    x = 71,516,476,002.71/305,571.84
  6. Step 6: Final answer
    x = 234,041.45

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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.