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Finding the Fourth Proportional to 200,878.30, 301,317.45 and 82,488.70

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Solution

The fourth proportional to 200,878.30, 301,317.45 and 82,488.70 is: 123,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,878.30 : 301,317.45 = 82,488.70 : x
  2. Step 2: Convert to fraction form
    200,878.30/301,317.45 = 82,488.70/x
  3. Step 3: Cross multiply
    200,878.30x = 301,317.45 × 82,488.70
  4. Step 4: Simplify right side
    200,878.30x = 24,855,284,737.82
  5. Step 5: Solve for x
    x = 24,855,284,737.82/200,878.30
  6. Step 6: Final answer
    x = 123,733.05

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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.