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Finding the Fourth Proportional to 411,020, 616,530 and 115,532

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Solution

The fourth proportional to 411,020, 616,530 and 115,532 is: 173,298

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,020 : 616,530 = 115,532 : x
  2. Step 2: Convert to fraction form
    411,020/616,530 = 115,532/x
  3. Step 3: Cross multiply
    411,020x = 616,530 × 115,532
  4. Step 4: Simplify right side
    411,020x = 71,228,943,960
  5. Step 5: Solve for x
    x = 71,228,943,960/411,020
  6. Step 6: Final answer
    x = 173,298

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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.