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Finding the Fourth Proportional to 422,502.66, 633,753.72 and 169,783.20

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Solution

The fourth proportional to 422,502.66, 633,753.72 and 169,783.20 is: 254,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,502.66 : 633,753.72 = 169,783.20 : x
  2. Step 2: Convert to fraction form
    422,502.66/633,753.72 = 169,783.20/x
  3. Step 3: Cross multiply
    422,502.66x = 633,753.72 × 169,783.20
  4. Step 4: Simplify right side
    422,502.66x = 107,600,734,593.50
  5. Step 5: Solve for x
    x = 107,600,734,593.50/422,502.66
  6. Step 6: Final answer
    x = 254,674.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.