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Finding the Fourth Proportional to 313,494.21, 432,801.34 and 206,375.63

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Solution

The fourth proportional to 313,494.21, 432,801.34 and 206,375.63 is: 284,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,494.21 : 432,801.34 = 206,375.63 : x
  2. Step 2: Convert to fraction form
    313,494.21/432,801.34 = 206,375.63/x
  3. Step 3: Cross multiply
    313,494.21x = 432,801.34 × 206,375.63
  4. Step 4: Simplify right side
    313,494.21x = 89,319,649,090.89
  5. Step 5: Solve for x
    x = 89,319,649,090.89/313,494.21
  6. Step 6: Final answer
    x = 284,916.43

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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.