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Finding the Fourth Proportional to 617,165, 925,508.20 and 212,280.22

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Solution

The fourth proportional to 617,165, 925,508.20 and 212,280.22 is: 318,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,165 : 925,508.20 = 212,280.22 : x
  2. Step 2: Convert to fraction form
    617,165/925,508.20 = 212,280.22/x
  3. Step 3: Cross multiply
    617,165x = 925,508.20 × 212,280.22
  4. Step 4: Simplify right side
    617,165x = 196,467,084,307.80
  5. Step 5: Solve for x
    x = 196,467,084,307.80/617,165
  6. Step 6: Final answer
    x = 318,338.02

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1.5x scale

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.