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Finding the Fourth Proportional to 280,998.96, 387,804.42 and 167,819.28

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Solution

The fourth proportional to 280,998.96, 387,804.42 and 167,819.28 is: 231,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,998.96 : 387,804.42 = 167,819.28 : x
  2. Step 2: Convert to fraction form
    280,998.96/387,804.42 = 167,819.28/x
  3. Step 3: Cross multiply
    280,998.96x = 387,804.42 × 167,819.28
  4. Step 4: Simplify right side
    280,998.96x = 65,081,058,545.22
  5. Step 5: Solve for x
    x = 65,081,058,545.22/280,998.96
  6. Step 6: Final answer
    x = 231,606.05

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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.