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Finding the Fourth Proportional to 289,956.28, 400,142.82 and 160,897

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Solution

The fourth proportional to 289,956.28, 400,142.82 and 160,897 is: 222,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,956.28 : 400,142.82 = 160,897 : x
  2. Step 2: Convert to fraction form
    289,956.28/400,142.82 = 160,897/x
  3. Step 3: Cross multiply
    289,956.28x = 400,142.82 × 160,897
  4. Step 4: Simplify right side
    289,956.28x = 64,381,779,309.54
  5. Step 5: Solve for x
    x = 64,381,779,309.54/289,956.28
  6. Step 6: Final answer
    x = 222,039.61

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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.