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Finding the Fourth Proportional to 378,295.44, 522,047.60 and 208,532.40

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Solution

The fourth proportional to 378,295.44, 522,047.60 and 208,532.40 is: 287,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,295.44 : 522,047.60 = 208,532.40 : x
  2. Step 2: Convert to fraction form
    378,295.44/522,047.60 = 208,532.40/x
  3. Step 3: Cross multiply
    378,295.44x = 522,047.60 × 208,532.40
  4. Step 4: Simplify right side
    378,295.44x = 108,863,838,942.24
  5. Step 5: Solve for x
    x = 108,863,838,942.24/378,295.44
  6. Step 6: Final answer
    x = 287,774.65

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1.5x scale

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.