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Finding the Fourth Proportional to 312,462.85, 431,193.63 and 169,221.64

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Solution

The fourth proportional to 312,462.85, 431,193.63 and 169,221.64 is: 233,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,462.85 : 431,193.63 = 169,221.64 : x
  2. Step 2: Convert to fraction form
    312,462.85/431,193.63 = 169,221.64/x
  3. Step 3: Cross multiply
    312,462.85x = 431,193.63 × 169,221.64
  4. Step 4: Simplify right side
    312,462.85x = 72,967,293,226.15
  5. Step 5: Solve for x
    x = 72,967,293,226.15/312,462.85
  6. Step 6: Final answer
    x = 233,523.10

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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.