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Finding the Fourth Proportional to 411,919.20, 617,101.20 and 211,557.60

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Solution

The fourth proportional to 411,919.20, 617,101.20 and 211,557.60 is: 316,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,919.20 : 617,101.20 = 211,557.60 : x
  2. Step 2: Convert to fraction form
    411,919.20/617,101.20 = 211,557.60/x
  3. Step 3: Cross multiply
    411,919.20x = 617,101.20 × 211,557.60
  4. Step 4: Simplify right side
    411,919.20x = 130,552,448,829.12
  5. Step 5: Solve for x
    x = 130,552,448,829.12/411,919.20
  6. Step 6: Final answer
    x = 316,937.03

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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.