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Finding the Fourth Proportional to 378,981.84, 522,981.12 and 209,212.32

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Solution

The fourth proportional to 378,981.84, 522,981.12 and 209,212.32 is: 288,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,981.84 : 522,981.12 = 209,212.32 : x
  2. Step 2: Convert to fraction form
    378,981.84/522,981.12 = 209,212.32/x
  3. Step 3: Cross multiply
    378,981.84x = 522,981.12 × 209,212.32
  4. Step 4: Simplify right side
    378,981.84x = 109,414,093,431.40
  5. Step 5: Solve for x
    x = 109,414,093,431.40/378,981.84
  6. Step 6: Final answer
    x = 288,705.37

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1.5x scale

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.