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Finding the Fourth Proportional to 378,412.60, 522,185.56 and 208,648.12

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Solution

The fourth proportional to 378,412.60, 522,185.56 and 208,648.12 is: 287,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,412.60 : 522,185.56 = 208,648.12 : x
  2. Step 2: Convert to fraction form
    378,412.60/522,185.56 = 208,648.12/x
  3. Step 3: Cross multiply
    378,412.60x = 522,185.56 × 208,648.12
  4. Step 4: Simplify right side
    378,412.60x = 108,953,035,385.15
  5. Step 5: Solve for x
    x = 108,953,035,385.15/378,412.60
  6. Step 6: Final answer
    x = 287,921.27

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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.