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Finding the Fourth Proportional to 378,974.52, 522,981.63 and 209,205

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Solution

The fourth proportional to 378,974.52, 522,981.63 and 209,205 is: 288,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,974.52 : 522,981.63 = 209,205 : x
  2. Step 2: Convert to fraction form
    378,974.52/522,981.63 = 209,205/x
  3. Step 3: Cross multiply
    378,974.52x = 522,981.63 × 209,205
  4. Step 4: Simplify right side
    378,974.52x = 109,410,371,904.15
  5. Step 5: Solve for x
    x = 109,410,371,904.15/378,974.52
  6. Step 6: Final answer
    x = 288,701.13

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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.