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Finding the Fourth Proportional to 383,485.87, 529,213.17 and 213,730.93

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Solution

The fourth proportional to 383,485.87, 529,213.17 and 213,730.93 is: 294,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,485.87 : 529,213.17 = 213,730.93 : x
  2. Step 2: Convert to fraction form
    383,485.87/529,213.17 = 213,730.93/x
  3. Step 3: Cross multiply
    383,485.87x = 529,213.17 × 213,730.93
  4. Step 4: Simplify right side
    383,485.87x = 113,109,222,992.35
  5. Step 5: Solve for x
    x = 113,109,222,992.35/383,485.87
  6. Step 6: Final answer
    x = 294,950.17

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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.