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Finding the Fourth Proportional to 283,358.43, 391,032.72 and 156,033

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Solution

The fourth proportional to 283,358.43, 391,032.72 and 156,033 is: 215,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,358.43 : 391,032.72 = 156,033 : x
  2. Step 2: Convert to fraction form
    283,358.43/391,032.72 = 156,033/x
  3. Step 3: Cross multiply
    283,358.43x = 391,032.72 × 156,033
  4. Step 4: Simplify right side
    283,358.43x = 61,014,008,399.76
  5. Step 5: Solve for x
    x = 61,014,008,399.76/283,358.43
  6. Step 6: Final answer
    x = 215,324.49

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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.