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Finding the Fourth Proportional to 411,735.20, 617,631.60 and 162,384.80

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Solution

The fourth proportional to 411,735.20, 617,631.60 and 162,384.80 is: 243,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,735.20 : 617,631.60 = 162,384.80 : x
  2. Step 2: Convert to fraction form
    411,735.20/617,631.60 = 162,384.80/x
  3. Step 3: Cross multiply
    411,735.20x = 617,631.60 × 162,384.80
  4. Step 4: Simplify right side
    411,735.20x = 100,293,983,839.68
  5. Step 5: Solve for x
    x = 100,293,983,839.68/411,735.20
  6. Step 6: Final answer
    x = 243,588.56

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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.