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Finding the Fourth Proportional to 220,944.40, 304,903.12 and 120,342.40

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Solution

The fourth proportional to 220,944.40, 304,903.12 and 120,342.40 is: 166,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,944.40 : 304,903.12 = 120,342.40 : x
  2. Step 2: Convert to fraction form
    220,944.40/304,903.12 = 120,342.40/x
  3. Step 3: Cross multiply
    220,944.40x = 304,903.12 × 120,342.40
  4. Step 4: Simplify right side
    220,944.40x = 36,692,773,228.29
  5. Step 5: Solve for x
    x = 36,692,773,228.29/220,944.40
  6. Step 6: Final answer
    x = 166,072.43

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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.