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Finding the Fourth Proportional to 397,147.50, 548,063.56 and 218,299.50

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Solution

The fourth proportional to 397,147.50, 548,063.56 and 218,299.50 is: 301,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,147.50 : 548,063.56 = 218,299.50 : x
  2. Step 2: Convert to fraction form
    397,147.50/548,063.56 = 218,299.50/x
  3. Step 3: Cross multiply
    397,147.50x = 548,063.56 × 218,299.50
  4. Step 4: Simplify right side
    397,147.50x = 119,642,001,116.22
  5. Step 5: Solve for x
    x = 119,642,001,116.22/397,147.50
  6. Step 6: Final answer
    x = 301,253.32

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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.