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Finding the Fourth Proportional to 221,009.52, 304,993.17 and 120,407.52

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Solution

The fourth proportional to 221,009.52, 304,993.17 and 120,407.52 is: 166,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,009.52 : 304,993.17 = 120,407.52 : x
  2. Step 2: Convert to fraction form
    221,009.52/304,993.17 = 120,407.52/x
  3. Step 3: Cross multiply
    221,009.52x = 304,993.17 × 120,407.52
  4. Step 4: Simplify right side
    221,009.52x = 36,723,471,216.64
  5. Step 5: Solve for x
    x = 36,723,471,216.64/221,009.52
  6. Step 6: Final answer
    x = 166,162.40

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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.