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Finding the Fourth Proportional to 320,722.76, 442,590.72 and 177,474.32

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Solution

The fourth proportional to 320,722.76, 442,590.72 and 177,474.32 is: 244,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,722.76 : 442,590.72 = 177,474.32 : x
  2. Step 2: Convert to fraction form
    320,722.76/442,590.72 = 177,474.32/x
  3. Step 3: Cross multiply
    320,722.76x = 442,590.72 × 177,474.32
  4. Step 4: Simplify right side
    320,722.76x = 78,548,487,070.31
  5. Step 5: Solve for x
    x = 78,548,487,070.31/320,722.76
  6. Step 6: Final answer
    x = 244,910.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.