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Finding the Fourth Proportional to 354,244.91, 531,270.09 and 211,978.26

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Solution

The fourth proportional to 354,244.91, 531,270.09 and 211,978.26 is: 317,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,244.91 : 531,270.09 = 211,978.26 : x
  2. Step 2: Convert to fraction form
    354,244.91/531,270.09 = 211,978.26/x
  3. Step 3: Cross multiply
    354,244.91x = 531,270.09 × 211,978.26
  4. Step 4: Simplify right side
    354,244.91x = 112,617,709,268.24
  5. Step 5: Solve for x
    x = 112,617,709,268.24/354,244.91
  6. Step 6: Final answer
    x = 317,909.19

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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.