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Finding the Fourth Proportional to 280,861.56, 387,494.31 and 159,917.31

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Solution

The fourth proportional to 280,861.56, 387,494.31 and 159,917.31 is: 220,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,861.56 : 387,494.31 = 159,917.31 : x
  2. Step 2: Convert to fraction form
    280,861.56/387,494.31 = 159,917.31/x
  3. Step 3: Cross multiply
    280,861.56x = 387,494.31 × 159,917.31
  4. Step 4: Simplify right side
    280,861.56x = 61,967,047,695.51
  5. Step 5: Solve for x
    x = 61,967,047,695.51/280,861.56
  6. Step 6: Final answer
    x = 220,632.00

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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.