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Finding the Fourth Proportional to 381,305.13, 526,183.47 and 209,218.81

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Solution

The fourth proportional to 381,305.13, 526,183.47 and 209,218.81 is: 288,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,305.13 : 526,183.47 = 209,218.81 : x
  2. Step 2: Convert to fraction form
    381,305.13/526,183.47 = 209,218.81/x
  3. Step 3: Cross multiply
    381,305.13x = 526,183.47 × 209,218.81
  4. Step 4: Simplify right side
    381,305.13x = 110,087,479,435.07
  5. Step 5: Solve for x
    x = 110,087,479,435.07/381,305.13
  6. Step 6: Final answer
    x = 288,712.30

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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.