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Finding the Fourth Proportional to 258,361.40, 387,132.78 and 199,341.56

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Solution

The fourth proportional to 258,361.40, 387,132.78 and 199,341.56 is: 298,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,361.40 : 387,132.78 = 199,341.56 : x
  2. Step 2: Convert to fraction form
    258,361.40/387,132.78 = 199,341.56/x
  3. Step 3: Cross multiply
    258,361.40x = 387,132.78 × 199,341.56
  4. Step 4: Simplify right side
    258,361.40x = 77,171,652,292.34
  5. Step 5: Solve for x
    x = 77,171,652,292.34/258,361.40
  6. Step 6: Final answer
    x = 298,696.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.