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Finding the Fourth Proportional to 381,492.64, 526,434.96 and 211,718.56

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Solution

The fourth proportional to 381,492.64, 526,434.96 and 211,718.56 is: 292,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,492.64 : 526,434.96 = 211,718.56 : x
  2. Step 2: Convert to fraction form
    381,492.64/526,434.96 = 211,718.56/x
  3. Step 3: Cross multiply
    381,492.64x = 526,434.96 × 211,718.56
  4. Step 4: Simplify right side
    381,492.64x = 111,456,051,664.86
  5. Step 5: Solve for x
    x = 111,456,051,664.86/381,492.64
  6. Step 6: Final answer
    x = 292,157.80

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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.