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Finding the Fourth Proportional to 400,877.96, 601,366.38 and 130,999.70

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Solution

The fourth proportional to 400,877.96, 601,366.38 and 130,999.70 is: 196,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,877.96 : 601,366.38 = 130,999.70 : x
  2. Step 2: Convert to fraction form
    400,877.96/601,366.38 = 130,999.70/x
  3. Step 3: Cross multiply
    400,877.96x = 601,366.38 × 130,999.70
  4. Step 4: Simplify right side
    400,877.96x = 78,778,815,370.09
  5. Step 5: Solve for x
    x = 78,778,815,370.09/400,877.96
  6. Step 6: Final answer
    x = 196,515.71

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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.