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Finding the Fourth Proportional to 221,454.40, 305,605.56 and 120,852.40

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Solution

The fourth proportional to 221,454.40, 305,605.56 and 120,852.40 is: 166,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,454.40 : 305,605.56 = 120,852.40 : x
  2. Step 2: Convert to fraction form
    221,454.40/305,605.56 = 120,852.40/x
  3. Step 3: Cross multiply
    221,454.40x = 305,605.56 × 120,852.40
  4. Step 4: Simplify right side
    221,454.40x = 36,933,165,379.34
  5. Step 5: Solve for x
    x = 36,933,165,379.34/221,454.40
  6. Step 6: Final answer
    x = 166,775.49

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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.