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Finding the Fourth Proportional to 212,818.54, 318,286.58 and 189,291.28

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Solution

The fourth proportional to 212,818.54, 318,286.58 and 189,291.28 is: 283,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,818.54 : 318,286.58 = 189,291.28 : x
  2. Step 2: Convert to fraction form
    212,818.54/318,286.58 = 189,291.28/x
  3. Step 3: Cross multiply
    212,818.54x = 318,286.58 × 189,291.28
  4. Step 4: Simplify right side
    212,818.54x = 60,248,874,135.02
  5. Step 5: Solve for x
    x = 60,248,874,135.02/212,818.54
  6. Step 6: Final answer
    x = 283,099.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.