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Finding the Fourth Proportional to 422,654.69, 633,914.60 and 156,354.63

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Solution

The fourth proportional to 422,654.69, 633,914.60 and 156,354.63 is: 234,507.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,654.69 : 633,914.60 = 156,354.63 : x
  2. Step 2: Convert to fraction form
    422,654.69/633,914.60 = 156,354.63/x
  3. Step 3: Cross multiply
    422,654.69x = 633,914.60 × 156,354.63
  4. Step 4: Simplify right side
    422,654.69x = 99,115,481,952.82
  5. Step 5: Solve for x
    x = 99,115,481,952.82/422,654.69
  6. Step 6: Final answer
    x = 234,507.00

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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.