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Finding the Fourth Proportional to 378,667.28, 522,560.81 and 208,901.41

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Solution

The fourth proportional to 378,667.28, 522,560.81 and 208,901.41 is: 288,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,667.28 : 522,560.81 = 208,901.41 : x
  2. Step 2: Convert to fraction form
    378,667.28/522,560.81 = 208,901.41/x
  3. Step 3: Cross multiply
    378,667.28x = 522,560.81 × 208,901.41
  4. Step 4: Simplify right side
    378,667.28x = 109,163,689,235.59
  5. Step 5: Solve for x
    x = 109,163,689,235.59/378,667.28
  6. Step 6: Final answer
    x = 288,283.92

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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.