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Finding the Fourth Proportional to 275,225.64, 412,829.82 and 78,233.64

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Solution

The fourth proportional to 275,225.64, 412,829.82 and 78,233.64 is: 117,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,225.64 : 412,829.82 = 78,233.64 : x
  2. Step 2: Convert to fraction form
    275,225.64/412,829.82 = 78,233.64/x
  3. Step 3: Cross multiply
    275,225.64x = 412,829.82 × 78,233.64
  4. Step 4: Simplify right side
    275,225.64x = 32,297,179,519.14
  5. Step 5: Solve for x
    x = 32,297,179,519.14/275,225.64
  6. Step 6: Final answer
    x = 117,348.00

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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.