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Finding the Fourth Proportional to 422,499.66, 633,748.86 and 142,213.74

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Solution

The fourth proportional to 422,499.66, 633,748.86 and 142,213.74 is: 213,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,499.66 : 633,748.86 = 142,213.74 : x
  2. Step 2: Convert to fraction form
    422,499.66/633,748.86 = 142,213.74/x
  3. Step 3: Cross multiply
    422,499.66x = 633,748.86 × 142,213.74
  4. Step 4: Simplify right side
    422,499.66x = 90,127,795,601.34
  5. Step 5: Solve for x
    x = 90,127,795,601.34/422,499.66
  6. Step 6: Final answer
    x = 213,320.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.