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Finding the Fourth Proportional to 383,670.72, 529,465.92 and 213,901.44

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Solution

The fourth proportional to 383,670.72, 529,465.92 and 213,901.44 is: 295,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,670.72 : 529,465.92 = 213,901.44 : x
  2. Step 2: Convert to fraction form
    383,670.72/529,465.92 = 213,901.44/x
  3. Step 3: Cross multiply
    383,670.72x = 529,465.92 × 213,901.44
  4. Step 4: Simplify right side
    383,670.72x = 113,253,522,718.93
  5. Step 5: Solve for x
    x = 113,253,522,718.93/383,670.72
  6. Step 6: Final answer
    x = 295,184.17

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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.