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Finding the Fourth Proportional to 411,019, 616,528.50 and 115,531

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Solution

The fourth proportional to 411,019, 616,528.50 and 115,531 is: 173,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,019 : 616,528.50 = 115,531 : x
  2. Step 2: Convert to fraction form
    411,019/616,528.50 = 115,531/x
  3. Step 3: Cross multiply
    411,019x = 616,528.50 × 115,531
  4. Step 4: Simplify right side
    411,019x = 71,228,154,133.50
  5. Step 5: Solve for x
    x = 71,228,154,133.50/411,019
  6. Step 6: Final answer
    x = 173,296.50

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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.