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Finding the Fourth Proportional to 386,858.57, 533,840.79 and 214,766.50

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Solution

The fourth proportional to 386,858.57, 533,840.79 and 214,766.50 is: 296,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,858.57 : 533,840.79 = 214,766.50 : x
  2. Step 2: Convert to fraction form
    386,858.57/533,840.79 = 214,766.50/x
  3. Step 3: Cross multiply
    386,858.57x = 533,840.79 × 214,766.50
  4. Step 4: Simplify right side
    386,858.57x = 114,651,118,025.54
  5. Step 5: Solve for x
    x = 114,651,118,025.54/386,858.57
  6. Step 6: Final answer
    x = 296,364.43

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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.