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Finding the Fourth Proportional to 385,978.06, 532,670.25 and 213,914.85

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Solution

The fourth proportional to 385,978.06, 532,670.25 and 213,914.85 is: 295,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,978.06 : 532,670.25 = 213,914.85 : x
  2. Step 2: Convert to fraction form
    385,978.06/532,670.25 = 213,914.85/x
  3. Step 3: Cross multiply
    385,978.06x = 532,670.25 × 213,914.85
  4. Step 4: Simplify right side
    385,978.06x = 113,946,076,628.21
  5. Step 5: Solve for x
    x = 113,946,076,628.21/385,978.06
  6. Step 6: Final answer
    x = 295,213.87

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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.