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Finding the Fourth Proportional to 378,878.96, 522,850.38 and 209,113.10

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Solution

The fourth proportional to 378,878.96, 522,850.38 and 209,113.10 is: 288,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,878.96 : 522,850.38 = 209,113.10 : x
  2. Step 2: Convert to fraction form
    378,878.96/522,850.38 = 209,113.10/x
  3. Step 3: Cross multiply
    378,878.96x = 522,850.38 × 209,113.10
  4. Step 4: Simplify right side
    378,878.96x = 109,334,863,797.98
  5. Step 5: Solve for x
    x = 109,334,863,797.98/378,878.96
  6. Step 6: Final answer
    x = 288,574.65

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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.