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Finding the Fourth Proportional to 507,709.79, 761,367.84 and 270,923.30

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Solution

The fourth proportional to 507,709.79, 761,367.84 and 270,923.30 is: 406,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,709.79 : 761,367.84 = 270,923.30 : x
  2. Step 2: Convert to fraction form
    507,709.79/761,367.84 = 270,923.30/x
  3. Step 3: Cross multiply
    507,709.79x = 761,367.84 × 270,923.30
  4. Step 4: Simplify right side
    507,709.79x = 206,272,283,919.83
  5. Step 5: Solve for x
    x = 206,272,283,919.83/507,709.79
  6. Step 6: Final answer
    x = 406,279.91

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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.