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Finding the Fourth Proportional to 312,467.90, 431,086.80 and 230,991.77

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Solution

The fourth proportional to 312,467.90, 431,086.80 and 230,991.77 is: 318,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,467.90 : 431,086.80 = 230,991.77 : x
  2. Step 2: Convert to fraction form
    312,467.90/431,086.80 = 230,991.77/x
  3. Step 3: Cross multiply
    312,467.90x = 431,086.80 × 230,991.77
  4. Step 4: Simplify right side
    312,467.90x = 99,577,500,800.20
  5. Step 5: Solve for x
    x = 99,577,500,800.20/312,467.90
  6. Step 6: Final answer
    x = 318,680.74

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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.