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Finding the Fourth Proportional to 411,950.40, 617,464.80 and 212,193.60

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Solution

The fourth proportional to 411,950.40, 617,464.80 and 212,193.60 is: 318,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,950.40 : 617,464.80 = 212,193.60 : x
  2. Step 2: Convert to fraction form
    411,950.40/617,464.80 = 212,193.60/x
  3. Step 3: Cross multiply
    411,950.40x = 617,464.80 × 212,193.60
  4. Step 4: Simplify right side
    411,950.40x = 131,022,078,785.28
  5. Step 5: Solve for x
    x = 131,022,078,785.28/411,950.40
  6. Step 6: Final answer
    x = 318,053.04

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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.