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Finding the Fourth Proportional to 320,847.50, 442,886.37 and 186,711.50

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Solution

The fourth proportional to 320,847.50, 442,886.37 and 186,711.50 is: 257,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,847.50 : 442,886.37 = 186,711.50 : x
  2. Step 2: Convert to fraction form
    320,847.50/442,886.37 = 186,711.50/x
  3. Step 3: Cross multiply
    320,847.50x = 442,886.37 × 186,711.50
  4. Step 4: Simplify right side
    320,847.50x = 82,691,978,472.26
  5. Step 5: Solve for x
    x = 82,691,978,472.26/320,847.50
  6. Step 6: Final answer
    x = 257,729.85

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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.