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Finding the Fourth Proportional to 378,129.19, 521,829.22 and 208,374.25

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Solution

The fourth proportional to 378,129.19, 521,829.22 and 208,374.25 is: 287,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,129.19 : 521,829.22 = 208,374.25 : x
  2. Step 2: Convert to fraction form
    378,129.19/521,829.22 = 208,374.25/x
  3. Step 3: Cross multiply
    378,129.19x = 521,829.22 × 208,374.25
  4. Step 4: Simplify right side
    378,129.19x = 108,735,772,345.59
  5. Step 5: Solve for x
    x = 108,735,772,345.59/378,129.19
  6. Step 6: Final answer
    x = 287,562.49

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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.