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Finding the Fourth Proportional to 507,716.91, 761,378.54 and 270,930.42

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Solution

The fourth proportional to 507,716.91, 761,378.54 and 270,930.42 is: 406,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,716.91 : 761,378.54 = 270,930.42 : x
  2. Step 2: Convert to fraction form
    507,716.91/761,378.54 = 270,930.42/x
  3. Step 3: Cross multiply
    507,716.91x = 761,378.54 × 270,930.42
  4. Step 4: Simplify right side
    507,716.91x = 206,280,606,266.54
  5. Step 5: Solve for x
    x = 206,280,606,266.54/507,716.91
  6. Step 6: Final answer
    x = 406,290.60

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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.