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Finding the Fourth Proportional to 305,196.81, 421,172.51 and 169,240.34

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Solution

The fourth proportional to 305,196.81, 421,172.51 and 169,240.34 is: 233,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,196.81 : 421,172.51 = 169,240.34 : x
  2. Step 2: Convert to fraction form
    305,196.81/421,172.51 = 169,240.34/x
  3. Step 3: Cross multiply
    305,196.81x = 421,172.51 × 169,240.34
  4. Step 4: Simplify right side
    305,196.81x = 71,279,375,838.99
  5. Step 5: Solve for x
    x = 71,279,375,838.99/305,196.81
  6. Step 6: Final answer
    x = 233,552.17

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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.