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Finding the Fourth Proportional to 283,536.72, 391,281.66 and 156,212.01

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Solution

The fourth proportional to 283,536.72, 391,281.66 and 156,212.01 is: 215,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,536.72 : 391,281.66 = 156,212.01 : x
  2. Step 2: Convert to fraction form
    283,536.72/391,281.66 = 156,212.01/x
  3. Step 3: Cross multiply
    283,536.72x = 391,281.66 × 156,212.01
  4. Step 4: Simplify right side
    283,536.72x = 61,122,894,584.74
  5. Step 5: Solve for x
    x = 61,122,894,584.74/283,536.72
  6. Step 6: Final answer
    x = 215,573.12

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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.