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Finding the Fourth Proportional to 283,863.51, 391,713.75 and 162,919.68

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Solution

The fourth proportional to 283,863.51, 391,713.75 and 162,919.68 is: 224,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,863.51 : 391,713.75 = 162,919.68 : x
  2. Step 2: Convert to fraction form
    283,863.51/391,713.75 = 162,919.68/x
  3. Step 3: Cross multiply
    283,863.51x = 391,713.75 × 162,919.68
  4. Step 4: Simplify right side
    283,863.51x = 63,817,878,801.60
  5. Step 5: Solve for x
    x = 63,817,878,801.60/283,863.51
  6. Step 6: Final answer
    x = 224,818.89

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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.