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Finding the Fourth Proportional to 508,968.11, 702,218.50 and 294,029.75

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Solution

The fourth proportional to 508,968.11, 702,218.50 and 294,029.75 is: 405,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,968.11 : 702,218.50 = 294,029.75 : x
  2. Step 2: Convert to fraction form
    508,968.11/702,218.50 = 294,029.75/x
  3. Step 3: Cross multiply
    508,968.11x = 702,218.50 × 294,029.75
  4. Step 4: Simplify right side
    508,968.11x = 206,473,131,020.85
  5. Step 5: Solve for x
    x = 206,473,131,020.85/508,968.11
  6. Step 6: Final answer
    x = 405,670.07

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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.