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Finding the Fourth Proportional to 411,511.10, 617,266.65 and 408,886.70

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Solution

The fourth proportional to 411,511.10, 617,266.65 and 408,886.70 is: 613,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,511.10 : 617,266.65 = 408,886.70 : x
  2. Step 2: Convert to fraction form
    411,511.10/617,266.65 = 408,886.70/x
  3. Step 3: Cross multiply
    411,511.10x = 617,266.65 × 408,886.70
  4. Step 4: Simplify right side
    411,511.10x = 252,392,123,538.56
  5. Step 5: Solve for x
    x = 252,392,123,538.56/411,511.10
  6. Step 6: Final answer
    x = 613,330.05

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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.