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Finding the Fourth Proportional to 411,017, 616,525.50 and 115,529

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Solution

The fourth proportional to 411,017, 616,525.50 and 115,529 is: 173,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,017 : 616,525.50 = 115,529 : x
  2. Step 2: Convert to fraction form
    411,017/616,525.50 = 115,529/x
  3. Step 3: Cross multiply
    411,017x = 616,525.50 × 115,529
  4. Step 4: Simplify right side
    411,017x = 71,226,574,489.50
  5. Step 5: Solve for x
    x = 71,226,574,489.50/411,017
  6. Step 6: Final answer
    x = 173,293.50

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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.