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Finding the Fourth Proportional to 213,611.88, 294,783.60 and 120,470.22

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Solution

The fourth proportional to 213,611.88, 294,783.60 and 120,470.22 is: 166,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,611.88 : 294,783.60 = 120,470.22 : x
  2. Step 2: Convert to fraction form
    213,611.88/294,783.60 = 120,470.22/x
  3. Step 3: Cross multiply
    213,611.88x = 294,783.60 × 120,470.22
  4. Step 4: Simplify right side
    213,611.88x = 35,512,645,596.16
  5. Step 5: Solve for x
    x = 35,512,645,596.16/213,611.88
  6. Step 6: Final answer
    x = 166,248.45

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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.