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Finding the Fourth Proportional to 653,642.06, 980,463.86 and 204,365.30

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Solution

The fourth proportional to 653,642.06, 980,463.86 and 204,365.30 is: 306,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,642.06 : 980,463.86 = 204,365.30 : x
  2. Step 2: Convert to fraction form
    653,642.06/980,463.86 = 204,365.30/x
  3. Step 3: Cross multiply
    653,642.06x = 980,463.86 × 204,365.30
  4. Step 4: Simplify right side
    653,642.06x = 200,372,790,888.06
  5. Step 5: Solve for x
    x = 200,372,790,888.06/653,642.06
  6. Step 6: Final answer
    x = 306,548.19

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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.