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Finding the Fourth Proportional to 378,340.30, 522,113.64 and 208,580.50

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Solution

The fourth proportional to 378,340.30, 522,113.64 and 208,580.50 is: 287,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,340.30 : 522,113.64 = 208,580.50 : x
  2. Step 2: Convert to fraction form
    378,340.30/522,113.64 = 208,580.50/x
  3. Step 3: Cross multiply
    378,340.30x = 522,113.64 × 208,580.50
  4. Step 4: Simplify right side
    378,340.30x = 108,902,724,088.02
  5. Step 5: Solve for x
    x = 108,902,724,088.02/378,340.30
  6. Step 6: Final answer
    x = 287,843.31

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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.