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Finding the Fourth Proportional to 283,863.52, 391,713.74 and 162,919.68

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Solution

The fourth proportional to 283,863.52, 391,713.74 and 162,919.68 is: 224,818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,863.52 : 391,713.74 = 162,919.68 : x
  2. Step 2: Convert to fraction form
    283,863.52/391,713.74 = 162,919.68/x
  3. Step 3: Cross multiply
    283,863.52x = 391,713.74 × 162,919.68
  4. Step 4: Simplify right side
    283,863.52x = 63,817,877,172.40
  5. Step 5: Solve for x
    x = 63,817,877,172.40/283,863.52
  6. Step 6: Final answer
    x = 224,818.87

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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.