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Finding the Fourth Proportional to 320,170.87, 441,928.13 and 211,354.86

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Solution

The fourth proportional to 320,170.87, 441,928.13 and 211,354.86 is: 291,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,170.87 : 441,928.13 = 211,354.86 : x
  2. Step 2: Convert to fraction form
    320,170.87/441,928.13 = 211,354.86/x
  3. Step 3: Cross multiply
    320,170.87x = 441,928.13 × 211,354.86
  4. Step 4: Simplify right side
    320,170.87x = 93,403,656,989.44
  5. Step 5: Solve for x
    x = 93,403,656,989.44/320,170.87
  6. Step 6: Final answer
    x = 291,730.66

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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.