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Finding the Fourth Proportional to 305,283.71, 421,317.38 and 169,361.42

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Solution

The fourth proportional to 305,283.71, 421,317.38 and 169,361.42 is: 233,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,283.71 : 421,317.38 = 169,361.42 : x
  2. Step 2: Convert to fraction form
    305,283.71/421,317.38 = 169,361.42/x
  3. Step 3: Cross multiply
    305,283.71x = 421,317.38 × 169,361.42
  4. Step 4: Simplify right side
    305,283.71x = 71,354,909,747.48
  5. Step 5: Solve for x
    x = 71,354,909,747.48/305,283.71
  6. Step 6: Final answer
    x = 233,733.11

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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.