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Finding the Fourth Proportional to 383,989.92, 576,059.01 and 147,314.13

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Solution

The fourth proportional to 383,989.92, 576,059.01 and 147,314.13 is: 220,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,989.92 : 576,059.01 = 147,314.13 : x
  2. Step 2: Convert to fraction form
    383,989.92/576,059.01 = 147,314.13/x
  3. Step 3: Cross multiply
    383,989.92x = 576,059.01 × 147,314.13
  4. Step 4: Simplify right side
    383,989.92x = 84,861,631,886.81
  5. Step 5: Solve for x
    x = 84,861,631,886.81/383,989.92
  6. Step 6: Final answer
    x = 220,999.63

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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.