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Finding the Fourth Proportional to 217,288.76, 299,843.32 and 120,497.52

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Solution

The fourth proportional to 217,288.76, 299,843.32 and 120,497.52 is: 166,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,288.76 : 299,843.32 = 120,497.52 : x
  2. Step 2: Convert to fraction form
    217,288.76/299,843.32 = 120,497.52/x
  3. Step 3: Cross multiply
    217,288.76x = 299,843.32 × 120,497.52
  4. Step 4: Simplify right side
    217,288.76x = 36,130,376,448.57
  5. Step 5: Solve for x
    x = 36,130,376,448.57/217,288.76
  6. Step 6: Final answer
    x = 166,278.17

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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.