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Finding the Fourth Proportional to 381,384.56, 526,310.70 and 211,646.00

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Solution

The fourth proportional to 381,384.56, 526,310.70 and 211,646.00 is: 292,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,384.56 : 526,310.70 = 211,646.00 : x
  2. Step 2: Convert to fraction form
    381,384.56/526,310.70 = 211,646.00/x
  3. Step 3: Cross multiply
    381,384.56x = 526,310.70 × 211,646.00
  4. Step 4: Simplify right side
    381,384.56x = 111,391,554,934.30
  5. Step 5: Solve for x
    x = 111,391,554,934.30/381,384.56
  6. Step 6: Final answer
    x = 292,071.48

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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.