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Finding the Fourth Proportional to 411,013.64, 616,517.58 and 211,389.68

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Solution

The fourth proportional to 411,013.64, 616,517.58 and 211,389.68 is: 317,083.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,013.64 : 616,517.58 = 211,389.68 : x
  2. Step 2: Convert to fraction form
    411,013.64/616,517.58 = 211,389.68/x
  3. Step 3: Cross multiply
    411,013.64x = 616,517.58 × 211,389.68
  4. Step 4: Simplify right side
    411,013.64x = 130,325,453,950.57
  5. Step 5: Solve for x
    x = 130,325,453,950.57/411,013.64
  6. Step 6: Final answer
    x = 317,083.04

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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.