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Finding the Fourth Proportional to 381,675.36, 526,728.45 and 211,909.50

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Solution

The fourth proportional to 381,675.36, 526,728.45 and 211,909.50 is: 292,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,675.36 : 526,728.45 = 211,909.50 : x
  2. Step 2: Convert to fraction form
    381,675.36/526,728.45 = 211,909.50/x
  3. Step 3: Cross multiply
    381,675.36x = 526,728.45 × 211,909.50
  4. Step 4: Simplify right side
    381,675.36x = 111,618,762,475.28
  5. Step 5: Solve for x
    x = 111,618,762,475.28/381,675.36
  6. Step 6: Final answer
    x = 292,444.24

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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.