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Finding the Fourth Proportional to 429,108.22, 643,693.92 and 113,563

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Solution

The fourth proportional to 429,108.22, 643,693.92 and 113,563 is: 170,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,108.22 : 643,693.92 = 113,563 : x
  2. Step 2: Convert to fraction form
    429,108.22/643,693.92 = 113,563/x
  3. Step 3: Cross multiply
    429,108.22x = 643,693.92 × 113,563
  4. Step 4: Simplify right side
    429,108.22x = 73,099,812,636.96
  5. Step 5: Solve for x
    x = 73,099,812,636.96/429,108.22
  6. Step 6: Final answer
    x = 170,352.86

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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.