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Finding the Fourth Proportional to 378,657.81, 522,511.41 and 208,881

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Solution

The fourth proportional to 378,657.81, 522,511.41 and 208,881 is: 288,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,657.81 : 522,511.41 = 208,881 : x
  2. Step 2: Convert to fraction form
    378,657.81/522,511.41 = 208,881/x
  3. Step 3: Cross multiply
    378,657.81x = 522,511.41 × 208,881
  4. Step 4: Simplify right side
    378,657.81x = 109,142,705,832.21
  5. Step 5: Solve for x
    x = 109,142,705,832.21/378,657.81
  6. Step 6: Final answer
    x = 288,235.72

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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.