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Finding the Fourth Proportional to 509,151.31, 702,550.70 and 294,249.87

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Solution

The fourth proportional to 509,151.31, 702,550.70 and 294,249.87 is: 406,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,151.31 : 702,550.70 = 294,249.87 : x
  2. Step 2: Convert to fraction form
    509,151.31/702,550.70 = 294,249.87/x
  3. Step 3: Cross multiply
    509,151.31x = 702,550.70 × 294,249.87
  4. Step 4: Simplify right side
    509,151.31x = 206,725,451,775.60
  5. Step 5: Solve for x
    x = 206,725,451,775.60/509,151.31
  6. Step 6: Final answer
    x = 406,019.68

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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.