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Finding the Fourth Proportional to 368,845.44, 509,011.52 and 215,978.88

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Solution

The fourth proportional to 368,845.44, 509,011.52 and 215,978.88 is: 298,053.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,845.44 : 509,011.52 = 215,978.88 : x
  2. Step 2: Convert to fraction form
    368,845.44/509,011.52 = 215,978.88/x
  3. Step 3: Cross multiply
    368,845.44x = 509,011.52 × 215,978.88
  4. Step 4: Simplify right side
    368,845.44x = 109,935,737,996.70
  5. Step 5: Solve for x
    x = 109,935,737,996.70/368,845.44
  6. Step 6: Final answer
    x = 298,053.67

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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.