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Finding the Fourth Proportional to 520,669.44, 718,514.31 and 294,314.94

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Solution

The fourth proportional to 520,669.44, 718,514.31 and 294,314.94 is: 406,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,669.44 : 718,514.31 = 294,314.94 : x
  2. Step 2: Convert to fraction form
    520,669.44/718,514.31 = 294,314.94/x
  3. Step 3: Cross multiply
    520,669.44x = 718,514.31 × 294,314.94
  4. Step 4: Simplify right side
    520,669.44x = 211,469,497,140.47
  5. Step 5: Solve for x
    x = 211,469,497,140.47/520,669.44
  6. Step 6: Final answer
    x = 406,149.24

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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.