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Finding the Fourth Proportional to 213,064.67, 319,608.02 and 202,290.56

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Solution

The fourth proportional to 213,064.67, 319,608.02 and 202,290.56 is: 303,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,064.67 : 319,608.02 = 202,290.56 : x
  2. Step 2: Convert to fraction form
    213,064.67/319,608.02 = 202,290.56/x
  3. Step 3: Cross multiply
    213,064.67x = 319,608.02 × 202,290.56
  4. Step 4: Simplify right side
    213,064.67x = 64,653,685,346.29
  5. Step 5: Solve for x
    x = 64,653,685,346.29/213,064.67
  6. Step 6: Final answer
    x = 303,446.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.