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Finding the Fourth Proportional to 378,298.44, 522,051.74 and 208,535.40

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Solution

The fourth proportional to 378,298.44, 522,051.74 and 208,535.40 is: 287,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,298.44 : 522,051.74 = 208,535.40 : x
  2. Step 2: Convert to fraction form
    378,298.44/522,051.74 = 208,535.40/x
  3. Step 3: Cross multiply
    378,298.44x = 522,051.74 × 208,535.40
  4. Step 4: Simplify right side
    378,298.44x = 108,866,268,421.60
  5. Step 5: Solve for x
    x = 108,866,268,421.60/378,298.44
  6. Step 6: Final answer
    x = 287,778.79

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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.