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Finding the Fourth Proportional to 400,224.30, 600,426 and 210,773.86

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Solution

The fourth proportional to 400,224.30, 600,426 and 210,773.86 is: 316,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,224.30 : 600,426 = 210,773.86 : x
  2. Step 2: Convert to fraction form
    400,224.30/600,426 = 210,773.86/x
  3. Step 3: Cross multiply
    400,224.30x = 600,426 × 210,773.86
  4. Step 4: Simplify right side
    400,224.30x = 126,554,105,664.36
  5. Step 5: Solve for x
    x = 126,554,105,664.36/400,224.30
  6. Step 6: Final answer
    x = 316,207.95

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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.