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Finding the Fourth Proportional to 397,714.75, 548,846.45 and 218,866.75

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Solution

The fourth proportional to 397,714.75, 548,846.45 and 218,866.75 is: 302,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,714.75 : 548,846.45 = 218,866.75 : x
  2. Step 2: Convert to fraction form
    397,714.75/548,846.45 = 218,866.75/x
  3. Step 3: Cross multiply
    397,714.75x = 548,846.45 × 218,866.75
  4. Step 4: Simplify right side
    397,714.75x = 120,124,238,760.54
  5. Step 5: Solve for x
    x = 120,124,238,760.54/397,714.75
  6. Step 6: Final answer
    x = 302,036.17

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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.