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Finding the Fourth Proportional to 429,110.22, 643,696.92 and 113,565

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Solution

The fourth proportional to 429,110.22, 643,696.92 and 113,565 is: 170,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,110.22 : 643,696.92 = 113,565 : x
  2. Step 2: Convert to fraction form
    429,110.22/643,696.92 = 113,565/x
  3. Step 3: Cross multiply
    429,110.22x = 643,696.92 × 113,565
  4. Step 4: Simplify right side
    429,110.22x = 73,101,440,719.80
  5. Step 5: Solve for x
    x = 73,101,440,719.80/429,110.22
  6. Step 6: Final answer
    x = 170,355.86

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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.