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Finding the Fourth Proportional to 312,618.90, 431,393.67 and 199,429.50

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Solution

The fourth proportional to 312,618.90, 431,393.67 and 199,429.50 is: 275,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,618.90 : 431,393.67 = 199,429.50 : x
  2. Step 2: Convert to fraction form
    312,618.90/431,393.67 = 199,429.50/x
  3. Step 3: Cross multiply
    312,618.90x = 431,393.67 × 199,429.50
  4. Step 4: Simplify right side
    312,618.90x = 86,032,623,911.27
  5. Step 5: Solve for x
    x = 86,032,623,911.27/312,618.90
  6. Step 6: Final answer
    x = 275,199.69

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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.