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Finding the Fourth Proportional to 551,646.82, 761,231.12 and 309,882.17

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Solution

The fourth proportional to 551,646.82, 761,231.12 and 309,882.17 is: 427,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,646.82 : 761,231.12 = 309,882.17 : x
  2. Step 2: Convert to fraction form
    551,646.82/761,231.12 = 309,882.17/x
  3. Step 3: Cross multiply
    551,646.82x = 761,231.12 × 309,882.17
  4. Step 4: Simplify right side
    551,646.82x = 235,891,951,690.80
  5. Step 5: Solve for x
    x = 235,891,951,690.80/551,646.82
  6. Step 6: Final answer
    x = 427,614.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.