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Finding the Fourth Proportional to 395,930.70, 546,415.47 and 226,219.50

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Solution

The fourth proportional to 395,930.70, 546,415.47 and 226,219.50 is: 312,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,930.70 : 546,415.47 = 226,219.50 : x
  2. Step 2: Convert to fraction form
    395,930.70/546,415.47 = 226,219.50/x
  3. Step 3: Cross multiply
    395,930.70x = 546,415.47 × 226,219.50
  4. Step 4: Simplify right side
    395,930.70x = 123,609,834,415.67
  5. Step 5: Solve for x
    x = 123,609,834,415.67/395,930.70
  6. Step 6: Final answer
    x = 312,200.68

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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.