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Finding the Fourth Proportional to 280,109.77, 419,967.84 and 102,593.71

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Solution

The fourth proportional to 280,109.77, 419,967.84 and 102,593.71 is: 153,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,109.77 : 419,967.84 = 102,593.71 : x
  2. Step 2: Convert to fraction form
    280,109.77/419,967.84 = 102,593.71/x
  3. Step 3: Cross multiply
    280,109.77x = 419,967.84 × 102,593.71
  4. Step 4: Simplify right side
    280,109.77x = 43,086,058,786.29
  5. Step 5: Solve for x
    x = 43,086,058,786.29/280,109.77
  6. Step 6: Final answer
    x = 153,818.48

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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.