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Finding the Fourth Proportional to 508,977.87, 702,188.15 and 294,078.39

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Solution

The fourth proportional to 508,977.87, 702,188.15 and 294,078.39 is: 405,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,977.87 : 702,188.15 = 294,078.39 : x
  2. Step 2: Convert to fraction form
    508,977.87/702,188.15 = 294,078.39/x
  3. Step 3: Cross multiply
    508,977.87x = 702,188.15 × 294,078.39
  4. Step 4: Simplify right side
    508,977.87x = 206,498,360,629.08
  5. Step 5: Solve for x
    x = 206,498,360,629.08/508,977.87
  6. Step 6: Final answer
    x = 405,711.86

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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.