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Finding the Fourth Proportional to 300,847.15, 414,929.91 and 255,674.66

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Solution

The fourth proportional to 300,847.15, 414,929.91 and 255,674.66 is: 352,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,847.15 : 414,929.91 = 255,674.66 : x
  2. Step 2: Convert to fraction form
    300,847.15/414,929.91 = 255,674.66/x
  3. Step 3: Cross multiply
    300,847.15x = 414,929.91 × 255,674.66
  4. Step 4: Simplify right side
    300,847.15x = 106,087,064,700.41
  5. Step 5: Solve for x
    x = 106,087,064,700.41/300,847.15
  6. Step 6: Final answer
    x = 352,627.79

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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.