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Finding the Fourth Proportional to 378,667.76, 522,563.28 and 208,901.84

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Solution

The fourth proportional to 378,667.76, 522,563.28 and 208,901.84 is: 288,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,667.76 : 522,563.28 = 208,901.84 : x
  2. Step 2: Convert to fraction form
    378,667.76/522,563.28 = 208,901.84/x
  3. Step 3: Cross multiply
    378,667.76x = 522,563.28 × 208,901.84
  4. Step 4: Simplify right side
    378,667.76x = 109,164,430,708.44
  5. Step 5: Solve for x
    x = 109,164,430,708.44/378,667.76
  6. Step 6: Final answer
    x = 288,285.52

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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.