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Finding the Fourth Proportional to 411,910.80, 617,866.20 and 323,437.20

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Solution

The fourth proportional to 411,910.80, 617,866.20 and 323,437.20 is: 485,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,910.80 : 617,866.20 = 323,437.20 : x
  2. Step 2: Convert to fraction form
    411,910.80/617,866.20 = 323,437.20/x
  3. Step 3: Cross multiply
    411,910.80x = 617,866.20 × 323,437.20
  4. Step 4: Simplify right side
    411,910.80x = 199,840,913,702.64
  5. Step 5: Solve for x
    x = 199,840,913,702.64/411,910.80
  6. Step 6: Final answer
    x = 485,155.80

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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.