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Finding the Fourth Proportional to 378,365.94, 522,148.86 and 208,606.14

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Solution

The fourth proportional to 378,365.94, 522,148.86 and 208,606.14 is: 287,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,365.94 : 522,148.86 = 208,606.14 : x
  2. Step 2: Convert to fraction form
    378,365.94/522,148.86 = 208,606.14/x
  3. Step 3: Cross multiply
    378,365.94x = 522,148.86 × 208,606.14
  4. Step 4: Simplify right side
    378,365.94x = 108,923,458,190.00
  5. Step 5: Solve for x
    x = 108,923,458,190.00/378,365.94
  6. Step 6: Final answer
    x = 287,878.60

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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.