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Finding the Fourth Proportional to 288,366.86, 397,947.12 and 161,047.28

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Solution

The fourth proportional to 288,366.86, 397,947.12 and 161,047.28 is: 222,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,366.86 : 397,947.12 = 161,047.28 : x
  2. Step 2: Convert to fraction form
    288,366.86/397,947.12 = 161,047.28/x
  3. Step 3: Cross multiply
    288,366.86x = 397,947.12 × 161,047.28
  4. Step 4: Simplify right side
    288,366.86x = 64,088,301,259.83
  5. Step 5: Solve for x
    x = 64,088,301,259.83/288,366.86
  6. Step 6: Final answer
    x = 222,245.72

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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.