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Finding the Fourth Proportional to 220,796.96, 330,178.08 and 163,978.16

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Solution

The fourth proportional to 220,796.96, 330,178.08 and 163,978.16 is: 245,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,796.96 : 330,178.08 = 163,978.16 : x
  2. Step 2: Convert to fraction form
    220,796.96/330,178.08 = 163,978.16/x
  3. Step 3: Cross multiply
    220,796.96x = 330,178.08 × 163,978.16
  4. Step 4: Simplify right side
    220,796.96x = 54,141,994,030.73
  5. Step 5: Solve for x
    x = 54,141,994,030.73/220,796.96
  6. Step 6: Final answer
    x = 245,211.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.