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Finding the Fourth Proportional to 299,128.88, 412,950.20 and 230,992.90

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Solution

The fourth proportional to 299,128.88, 412,950.20 and 230,992.90 is: 318,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,128.88 : 412,950.20 = 230,992.90 : x
  2. Step 2: Convert to fraction form
    299,128.88/412,950.20 = 230,992.90/x
  3. Step 3: Cross multiply
    299,128.88x = 412,950.20 × 230,992.90
  4. Step 4: Simplify right side
    299,128.88x = 95,388,562,066.24
  5. Step 5: Solve for x
    x = 95,388,562,066.24/299,128.88
  6. Step 6: Final answer
    x = 318,887.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.