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Finding the Fourth Proportional to 288,346.86, 397,919.52 and 161,027.28

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Solution

The fourth proportional to 288,346.86, 397,919.52 and 161,027.28 is: 222,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,346.86 : 397,919.52 = 161,027.28 : x
  2. Step 2: Convert to fraction form
    288,346.86/397,919.52 = 161,027.28/x
  3. Step 3: Cross multiply
    288,346.86x = 397,919.52 × 161,027.28
  4. Step 4: Simplify right side
    288,346.86x = 64,075,897,964.51
  5. Step 5: Solve for x
    x = 64,075,897,964.51/288,346.86
  6. Step 6: Final answer
    x = 222,218.12

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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.