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Finding the Fourth Proportional to 383,472.76, 529,194.18 and 222,423.16

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Solution

The fourth proportional to 383,472.76, 529,194.18 and 222,423.16 is: 306,944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,472.76 : 529,194.18 = 222,423.16 : x
  2. Step 2: Convert to fraction form
    383,472.76/529,194.18 = 222,423.16/x
  3. Step 3: Cross multiply
    383,472.76x = 529,194.18 × 222,423.16
  4. Step 4: Simplify right side
    383,472.76x = 117,705,041,769.21
  5. Step 5: Solve for x
    x = 117,705,041,769.21/383,472.76
  6. Step 6: Final answer
    x = 306,944.99

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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.