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Finding the Fourth Proportional to 411,584.40, 617,334.84 and 279,314.64

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Solution

The fourth proportional to 411,584.40, 617,334.84 and 279,314.64 is: 418,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,584.40 : 617,334.84 = 279,314.64 : x
  2. Step 2: Convert to fraction form
    411,584.40/617,334.84 = 279,314.64/x
  3. Step 3: Cross multiply
    411,584.40x = 617,334.84 × 279,314.64
  4. Step 4: Simplify right side
    411,584.40x = 172,430,658,594.06
  5. Step 5: Solve for x
    x = 172,430,658,594.06/411,584.40
  6. Step 6: Final answer
    x = 418,943.62

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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.