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Finding the Fourth Proportional to 258,376.32, 387,224.28 and 138,419.37

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Solution

The fourth proportional to 258,376.32, 387,224.28 and 138,419.37 is: 207,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,376.32 : 387,224.28 = 138,419.37 : x
  2. Step 2: Convert to fraction form
    258,376.32/387,224.28 = 138,419.37/x
  3. Step 3: Cross multiply
    258,376.32x = 387,224.28 × 138,419.37
  4. Step 4: Simplify right side
    258,376.32x = 53,599,340,886.30
  5. Step 5: Solve for x
    x = 53,599,340,886.30/258,376.32
  6. Step 6: Final answer
    x = 207,446.80

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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.