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Finding the Fourth Proportional to 273,835.20, 410,179.80 and 220,237.50

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Solution

The fourth proportional to 273,835.20, 410,179.80 and 220,237.50 is: 329,895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,835.20 : 410,179.80 = 220,237.50 : x
  2. Step 2: Convert to fraction form
    273,835.20/410,179.80 = 220,237.50/x
  3. Step 3: Cross multiply
    273,835.20x = 410,179.80 × 220,237.50
  4. Step 4: Simplify right side
    273,835.20x = 90,336,973,702.50
  5. Step 5: Solve for x
    x = 90,336,973,702.50/273,835.20
  6. Step 6: Final answer
    x = 329,895.40

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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.