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Finding the Fourth Proportional to 378,894.42, 522,837.05 and 209,117.60

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Solution

The fourth proportional to 378,894.42, 522,837.05 and 209,117.60 is: 288,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,894.42 : 522,837.05 = 209,117.60 : x
  2. Step 2: Convert to fraction form
    378,894.42/522,837.05 = 209,117.60/x
  3. Step 3: Cross multiply
    378,894.42x = 522,837.05 × 209,117.60
  4. Step 4: Simplify right side
    378,894.42x = 109,334,429,087.08
  5. Step 5: Solve for x
    x = 109,334,429,087.08/378,894.42
  6. Step 6: Final answer
    x = 288,561.73

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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.