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Finding the Fourth Proportional to 411,863.64, 617,812.71 and 145,626.36

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Solution

The fourth proportional to 411,863.64, 617,812.71 and 145,626.36 is: 218,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,863.64 : 617,812.71 = 145,626.36 : x
  2. Step 2: Convert to fraction form
    411,863.64/617,812.71 = 145,626.36/x
  3. Step 3: Cross multiply
    411,863.64x = 617,812.71 × 145,626.36
  4. Step 4: Simplify right side
    411,863.64x = 89,969,816,119.04
  5. Step 5: Solve for x
    x = 89,969,816,119.04/411,863.64
  6. Step 6: Final answer
    x = 218,445.64

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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.