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Finding the Fourth Proportional to 400,812, 600,693.12 and 223,402.56

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Solution

The fourth proportional to 400,812, 600,693.12 and 223,402.56 is: 334,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,812 : 600,693.12 = 223,402.56 : x
  2. Step 2: Convert to fraction form
    400,812/600,693.12 = 223,402.56/x
  3. Step 3: Cross multiply
    400,812x = 600,693.12 × 223,402.56
  4. Step 4: Simplify right side
    400,812x = 134,196,380,782.39
  5. Step 5: Solve for x
    x = 134,196,380,782.39/400,812
  6. Step 6: Final answer
    x = 334,811.29

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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.