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Finding the Fourth Proportional to 381,392.94, 526,326.38 and 209,305.80

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Solution

The fourth proportional to 381,392.94, 526,326.38 and 209,305.80 is: 288,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,392.94 : 526,326.38 = 209,305.80 : x
  2. Step 2: Convert to fraction form
    381,392.94/526,326.38 = 209,305.80/x
  3. Step 3: Cross multiply
    381,392.94x = 526,326.38 × 209,305.80
  4. Step 4: Simplify right side
    381,392.94x = 110,163,164,027.00
  5. Step 5: Solve for x
    x = 110,163,164,027.00/381,392.94
  6. Step 6: Final answer
    x = 288,844.27

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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.