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Finding the Fourth Proportional to 383,753.79, 529,582.31 and 211,677.80

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Solution

The fourth proportional to 383,753.79, 529,582.31 and 211,677.80 is: 292,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,753.79 : 529,582.31 = 211,677.80 : x
  2. Step 2: Convert to fraction form
    383,753.79/529,582.31 = 211,677.80/x
  3. Step 3: Cross multiply
    383,753.79x = 529,582.31 × 211,677.80
  4. Step 4: Simplify right side
    383,753.79x = 112,100,814,593.42
  5. Step 5: Solve for x
    x = 112,100,814,593.42/383,753.79
  6. Step 6: Final answer
    x = 292,116.50

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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.