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Finding the Fourth Proportional to 313,098.66, 431,791.02 and 264,801.78

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Solution

The fourth proportional to 313,098.66, 431,791.02 and 264,801.78 is: 365,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,098.66 : 431,791.02 = 264,801.78 : x
  2. Step 2: Convert to fraction form
    313,098.66/431,791.02 = 264,801.78/x
  3. Step 3: Cross multiply
    313,098.66x = 431,791.02 × 264,801.78
  4. Step 4: Simplify right side
    313,098.66x = 114,339,030,684.02
  5. Step 5: Solve for x
    x = 114,339,030,684.02/313,098.66
  6. Step 6: Final answer
    x = 365,185.31

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1.5x scale

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.