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Finding the Fourth Proportional to 354,243.74, 531,268.32 and 211,976.96

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Solution

The fourth proportional to 354,243.74, 531,268.32 and 211,976.96 is: 317,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,243.74 : 531,268.32 = 211,976.96 : x
  2. Step 2: Convert to fraction form
    354,243.74/531,268.32 = 211,976.96/x
  3. Step 3: Cross multiply
    354,243.74x = 531,268.32 × 211,976.96
  4. Step 4: Simplify right side
    354,243.74x = 112,616,643,417.91
  5. Step 5: Solve for x
    x = 112,616,643,417.91/354,243.74
  6. Step 6: Final answer
    x = 317,907.22

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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.