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Finding the Fourth Proportional to 411,213.20, 617,856.60 and 261,525.20

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Solution

The fourth proportional to 411,213.20, 617,856.60 and 261,525.20 is: 392,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,213.20 : 617,856.60 = 261,525.20 : x
  2. Step 2: Convert to fraction form
    411,213.20/617,856.60 = 261,525.20/x
  3. Step 3: Cross multiply
    411,213.20x = 617,856.60 × 261,525.20
  4. Step 4: Simplify right side
    411,213.20x = 161,585,070,886.32
  5. Step 5: Solve for x
    x = 161,585,070,886.32/411,213.20
  6. Step 6: Final answer
    x = 392,947.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.