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Finding the Fourth Proportional to 378,162.38, 521,875.02 and 208,407.44

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Solution

The fourth proportional to 378,162.38, 521,875.02 and 208,407.44 is: 287,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,162.38 : 521,875.02 = 208,407.44 : x
  2. Step 2: Convert to fraction form
    378,162.38/521,875.02 = 208,407.44/x
  3. Step 3: Cross multiply
    378,162.38x = 521,875.02 × 208,407.44
  4. Step 4: Simplify right side
    378,162.38x = 108,762,634,308.77
  5. Step 5: Solve for x
    x = 108,762,634,308.77/378,162.38
  6. Step 6: Final answer
    x = 287,608.29

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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.