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Finding the Fourth Proportional to 400,876.96, 601,364.88 and 130,998.70

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Solution

The fourth proportional to 400,876.96, 601,364.88 and 130,998.70 is: 196,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,876.96 : 601,364.88 = 130,998.70 : x
  2. Step 2: Convert to fraction form
    400,876.96/601,364.88 = 130,998.70/x
  3. Step 3: Cross multiply
    400,876.96x = 601,364.88 × 130,998.70
  4. Step 4: Simplify right side
    400,876.96x = 78,778,017,505.66
  5. Step 5: Solve for x
    x = 78,778,017,505.66/400,876.96
  6. Step 6: Final answer
    x = 196,514.21

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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.