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Finding the Fourth Proportional to 354,221.87, 531,411.73 and 129,577.32

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Solution

The fourth proportional to 354,221.87, 531,411.73 and 129,577.32 is: 194,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,221.87 : 531,411.73 = 129,577.32 : x
  2. Step 2: Convert to fraction form
    354,221.87/531,411.73 = 129,577.32/x
  3. Step 3: Cross multiply
    354,221.87x = 531,411.73 × 129,577.32
  4. Step 4: Simplify right side
    354,221.87x = 68,858,907,466.02
  5. Step 5: Solve for x
    x = 68,858,907,466.02/354,221.87
  6. Step 6: Final answer
    x = 194,394.85

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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.