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Finding the Fourth Proportional to 381,660.66, 526,733.48 and 218,332.16

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Solution

The fourth proportional to 381,660.66, 526,733.48 and 218,332.16 is: 301,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,660.66 : 526,733.48 = 218,332.16 : x
  2. Step 2: Convert to fraction form
    381,660.66/526,733.48 = 218,332.16/x
  3. Step 3: Cross multiply
    381,660.66x = 526,733.48 × 218,332.16
  4. Step 4: Simplify right side
    381,660.66x = 115,002,858,320.13
  5. Step 5: Solve for x
    x = 115,002,858,320.13/381,660.66
  6. Step 6: Final answer
    x = 301,322.27

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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.