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Finding the Fourth Proportional to 521,678.88, 782,518.32 and 284,892.39

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Solution

The fourth proportional to 521,678.88, 782,518.32 and 284,892.39 is: 427,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,678.88 : 782,518.32 = 284,892.39 : x
  2. Step 2: Convert to fraction form
    521,678.88/782,518.32 = 284,892.39/x
  3. Step 3: Cross multiply
    521,678.88x = 782,518.32 × 284,892.39
  4. Step 4: Simplify right side
    521,678.88x = 222,933,514,403.59
  5. Step 5: Solve for x
    x = 222,933,514,403.59/521,678.88
  6. Step 6: Final answer
    x = 427,338.59

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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.