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Finding the Fourth Proportional to 378,895.70, 522,873.54 and 209,129.82

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Solution

The fourth proportional to 378,895.70, 522,873.54 and 209,129.82 is: 288,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,895.70 : 522,873.54 = 209,129.82 : x
  2. Step 2: Convert to fraction form
    378,895.70/522,873.54 = 209,129.82/x
  3. Step 3: Cross multiply
    378,895.70x = 522,873.54 × 209,129.82
  4. Step 4: Simplify right side
    378,895.70x = 109,348,449,302.96
  5. Step 5: Solve for x
    x = 109,348,449,302.96/378,895.70
  6. Step 6: Final answer
    x = 288,597.76

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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.