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Finding the Fourth Proportional to 378,407.64, 522,192.78 and 208,638.84

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Solution

The fourth proportional to 378,407.64, 522,192.78 and 208,638.84 is: 287,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,407.64 : 522,192.78 = 208,638.84 : x
  2. Step 2: Convert to fraction form
    378,407.64/522,192.78 = 208,638.84/x
  3. Step 3: Cross multiply
    378,407.64x = 522,192.78 × 208,638.84
  4. Step 4: Simplify right side
    378,407.64x = 108,949,695,875.58
  5. Step 5: Solve for x
    x = 108,949,695,875.58/378,407.64
  6. Step 6: Final answer
    x = 287,916.22

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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.