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Finding the Fourth Proportional to 288,371.61, 397,953.54 and 161,051.76

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Solution

The fourth proportional to 288,371.61, 397,953.54 and 161,051.76 is: 222,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,371.61 : 397,953.54 = 161,051.76 : x
  2. Step 2: Convert to fraction form
    288,371.61/397,953.54 = 161,051.76/x
  3. Step 3: Cross multiply
    288,371.61x = 397,953.54 × 161,051.76
  4. Step 4: Simplify right side
    288,371.61x = 64,091,118,015.23
  5. Step 5: Solve for x
    x = 64,091,118,015.23/288,371.61
  6. Step 6: Final answer
    x = 222,251.83

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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.