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Finding the Fourth Proportional to 652,653.88, 978,977.82 and 203,375.05

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Solution

The fourth proportional to 652,653.88, 978,977.82 and 203,375.05 is: 305,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,653.88 : 978,977.82 = 203,375.05 : x
  2. Step 2: Convert to fraction form
    652,653.88/978,977.82 = 203,375.05/x
  3. Step 3: Cross multiply
    652,653.88x = 978,977.82 × 203,375.05
  4. Step 4: Simplify right side
    652,653.88x = 199,099,666,341.36
  5. Step 5: Solve for x
    x = 199,099,666,341.36/652,653.88
  6. Step 6: Final answer
    x = 305,061.64

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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.