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Finding the Fourth Proportional to 205,178.60, 307,767.90 and 204,012.20

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Solution

The fourth proportional to 205,178.60, 307,767.90 and 204,012.20 is: 306,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,178.60 : 307,767.90 = 204,012.20 : x
  2. Step 2: Convert to fraction form
    205,178.60/307,767.90 = 204,012.20/x
  3. Step 3: Cross multiply
    205,178.60x = 307,767.90 × 204,012.20
  4. Step 4: Simplify right side
    205,178.60x = 62,788,406,368.38
  5. Step 5: Solve for x
    x = 62,788,406,368.38/205,178.60
  6. Step 6: Final answer
    x = 306,018.30

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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.