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Finding the Fourth Proportional to 320,899.86, 442,958.13 and 186,763.86

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Solution

The fourth proportional to 320,899.86, 442,958.13 and 186,763.86 is: 257,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,899.86 : 442,958.13 = 186,763.86 : x
  2. Step 2: Convert to fraction form
    320,899.86/442,958.13 = 186,763.86/x
  3. Step 3: Cross multiply
    320,899.86x = 442,958.13 × 186,763.86
  4. Step 4: Simplify right side
    320,899.86x = 82,728,570,177.18
  5. Step 5: Solve for x
    x = 82,728,570,177.18/320,899.86
  6. Step 6: Final answer
    x = 257,801.83

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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.