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Finding the Fourth Proportional to 384,951.89, 531,237.05 and 212,881.50

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Solution

The fourth proportional to 384,951.89, 531,237.05 and 212,881.50 is: 293,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,951.89 : 531,237.05 = 212,881.50 : x
  2. Step 2: Convert to fraction form
    384,951.89/531,237.05 = 212,881.50/x
  3. Step 3: Cross multiply
    384,951.89x = 531,237.05 × 212,881.50
  4. Step 4: Simplify right side
    384,951.89x = 113,090,539,793.47
  5. Step 5: Solve for x
    x = 113,090,539,793.47/384,951.89
  6. Step 6: Final answer
    x = 293,778.37

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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.