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Finding the Fourth Proportional to 258,458.40, 387,687.60 and 133,837.60

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Solution

The fourth proportional to 258,458.40, 387,687.60 and 133,837.60 is: 200,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,458.40 : 387,687.60 = 133,837.60 : x
  2. Step 2: Convert to fraction form
    258,458.40/387,687.60 = 133,837.60/x
  3. Step 3: Cross multiply
    258,458.40x = 387,687.60 × 133,837.60
  4. Step 4: Simplify right side
    258,458.40x = 51,887,177,933.76
  5. Step 5: Solve for x
    x = 51,887,177,933.76/258,458.40
  6. Step 6: Final answer
    x = 200,756.40

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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.