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Finding the Fourth Proportional to 411,729.20, 617,440.20 and 162,359.60

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Solution

The fourth proportional to 411,729.20, 617,440.20 and 162,359.60 is: 243,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,729.20 : 617,440.20 = 162,359.60 : x
  2. Step 2: Convert to fraction form
    411,729.20/617,440.20 = 162,359.60/x
  3. Step 3: Cross multiply
    411,729.20x = 617,440.20 × 162,359.60
  4. Step 4: Simplify right side
    411,729.20x = 100,247,343,895.92
  5. Step 5: Solve for x
    x = 100,247,343,895.92/411,729.20
  6. Step 6: Final answer
    x = 243,478.83

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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.