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Finding the Fourth Proportional to 381,203.30, 526,055.64 and 217,857.98

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Solution

The fourth proportional to 381,203.30, 526,055.64 and 217,857.98 is: 300,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,203.30 : 526,055.64 = 217,857.98 : x
  2. Step 2: Convert to fraction form
    381,203.30/526,055.64 = 217,857.98/x
  3. Step 3: Cross multiply
    381,203.30x = 526,055.64 × 217,857.98
  4. Step 4: Simplify right side
    381,203.30x = 114,605,416,467.73
  5. Step 5: Solve for x
    x = 114,605,416,467.73/381,203.30
  6. Step 6: Final answer
    x = 300,641.20

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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.