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Finding the Fourth Proportional to 300,599.01, 414,829.40 and 205,103.66

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Solution

The fourth proportional to 300,599.01, 414,829.40 and 205,103.66 is: 283,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,599.01 : 414,829.40 = 205,103.66 : x
  2. Step 2: Convert to fraction form
    300,599.01/414,829.40 = 205,103.66/x
  3. Step 3: Cross multiply
    300,599.01x = 414,829.40 × 205,103.66
  4. Step 4: Simplify right side
    300,599.01x = 85,083,025,115.94
  5. Step 5: Solve for x
    x = 85,083,025,115.94/300,599.01
  6. Step 6: Final answer
    x = 283,044.93

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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.