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Finding the Fourth Proportional to 278,887.86, 384,864.09 and 158,052.12

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Solution

The fourth proportional to 278,887.86, 384,864.09 and 158,052.12 is: 218,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,887.86 : 384,864.09 = 158,052.12 : x
  2. Step 2: Convert to fraction form
    278,887.86/384,864.09 = 158,052.12/x
  3. Step 3: Cross multiply
    278,887.86x = 384,864.09 × 158,052.12
  4. Step 4: Simplify right side
    278,887.86x = 60,828,585,336.37
  5. Step 5: Solve for x
    x = 60,828,585,336.37/278,887.86
  6. Step 6: Final answer
    x = 218,111.27

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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.