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Finding the Fourth Proportional to 384,200.45, 538,667.95 and 384,200.45

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Solution

The fourth proportional to 384,200.45, 538,667.95 and 384,200.45 is: 538,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,200.45 : 538,667.95 = 384,200.45 : x
  2. Step 2: Convert to fraction form
    384,200.45/538,667.95 = 384,200.45/x
  3. Step 3: Cross multiply
    384,200.45x = 538,667.95 × 384,200.45
  4. Step 4: Simplify right side
    384,200.45x = 206,956,468,790.58
  5. Step 5: Solve for x
    x = 206,956,468,790.58/384,200.45
  6. Step 6: Final answer
    x = 538,667.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.