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Finding the Fourth Proportional to 411,322.79, 616,982.96 and 145,019.09

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Solution

The fourth proportional to 411,322.79, 616,982.96 and 145,019.09 is: 217,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,322.79 : 616,982.96 = 145,019.09 : x
  2. Step 2: Convert to fraction form
    411,322.79/616,982.96 = 145,019.09/x
  3. Step 3: Cross multiply
    411,322.79x = 616,982.96 × 145,019.09
  4. Step 4: Simplify right side
    411,322.79x = 89,474,303,594.70
  5. Step 5: Solve for x
    x = 89,474,303,594.70/411,322.79
  6. Step 6: Final answer
    x = 217,528.20

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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.