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Finding the Fourth Proportional to 305,243.70, 420,793.80 and 214,322.82

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Solution

The fourth proportional to 305,243.70, 420,793.80 and 214,322.82 is: 295,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,243.70 : 420,793.80 = 214,322.82 : x
  2. Step 2: Convert to fraction form
    305,243.70/420,793.80 = 214,322.82/x
  3. Step 3: Cross multiply
    305,243.70x = 420,793.80 × 214,322.82
  4. Step 4: Simplify right side
    305,243.70x = 90,185,713,854.52
  5. Step 5: Solve for x
    x = 90,185,713,854.52/305,243.70
  6. Step 6: Final answer
    x = 295,454.79

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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.