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Finding the Fourth Proportional to 384,895.92, 531,134.90 and 212,803.92

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Solution

The fourth proportional to 384,895.92, 531,134.90 and 212,803.92 is: 293,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,895.92 : 531,134.90 = 212,803.92 : x
  2. Step 2: Convert to fraction form
    384,895.92/531,134.90 = 212,803.92/x
  3. Step 3: Cross multiply
    384,895.92x = 531,134.90 × 212,803.92
  4. Step 4: Simplify right side
    384,895.92x = 113,027,588,768.81
  5. Step 5: Solve for x
    x = 113,027,588,768.81/384,895.92
  6. Step 6: Final answer
    x = 293,657.54

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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.