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Finding the Fourth Proportional to 320,883.50, 442,819.24 and 186,747.50

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Solution

The fourth proportional to 320,883.50, 442,819.24 and 186,747.50 is: 257,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,883.50 : 442,819.24 = 186,747.50 : x
  2. Step 2: Convert to fraction form
    320,883.50/442,819.24 = 186,747.50/x
  3. Step 3: Cross multiply
    320,883.50x = 442,819.24 × 186,747.50
  4. Step 4: Simplify right side
    320,883.50x = 82,695,386,021.90
  5. Step 5: Solve for x
    x = 82,695,386,021.90/320,883.50
  6. Step 6: Final answer
    x = 257,711.56

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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.