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Finding the Fourth Proportional to 283,743.88, 391,567.74 and 156,416.68

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Solution

The fourth proportional to 283,743.88, 391,567.74 and 156,416.68 is: 215,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,743.88 : 391,567.74 = 156,416.68 : x
  2. Step 2: Convert to fraction form
    283,743.88/391,567.74 = 156,416.68/x
  3. Step 3: Cross multiply
    283,743.88x = 391,567.74 × 156,416.68
  4. Step 4: Simplify right side
    283,743.88x = 61,247,725,885.90
  5. Step 5: Solve for x
    x = 61,247,725,885.90/283,743.88
  6. Step 6: Final answer
    x = 215,855.67

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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.