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Finding the Fourth Proportional to 400,620.20, 601,137.42 and 176,138.12

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Solution

The fourth proportional to 400,620.20, 601,137.42 and 176,138.12 is: 264,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,620.20 : 601,137.42 = 176,138.12 : x
  2. Step 2: Convert to fraction form
    400,620.20/601,137.42 = 176,138.12/x
  3. Step 3: Cross multiply
    400,620.20x = 601,137.42 × 176,138.12
  4. Step 4: Simplify right side
    400,620.20x = 105,883,215,020.45
  5. Step 5: Solve for x
    x = 105,883,215,020.45/400,620.20
  6. Step 6: Final answer
    x = 264,298.24

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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.