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Finding the Fourth Proportional to 429,178.26, 643,792.00 and 113,626.97

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Solution

The fourth proportional to 429,178.26, 643,792.00 and 113,626.97 is: 170,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,178.26 : 643,792.00 = 113,626.97 : x
  2. Step 2: Convert to fraction form
    429,178.26/643,792.00 = 113,626.97/x
  3. Step 3: Cross multiply
    429,178.26x = 643,792.00 × 113,626.97
  4. Step 4: Simplify right side
    429,178.26x = 73,152,133,394.48
  5. Step 5: Solve for x
    x = 73,152,133,394.48/429,178.26
  6. Step 6: Final answer
    x = 170,446.97

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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.