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Finding the Fourth Proportional to 278,297.86, 383,813.98 and 213,922.92

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Solution

The fourth proportional to 278,297.86, 383,813.98 and 213,922.92 is: 295,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,297.86 : 383,813.98 = 213,922.92 : x
  2. Step 2: Convert to fraction form
    278,297.86/383,813.98 = 213,922.92/x
  3. Step 3: Cross multiply
    278,297.86x = 383,813.98 × 213,922.92
  4. Step 4: Simplify right side
    278,297.86x = 82,106,607,338.42
  5. Step 5: Solve for x
    x = 82,106,607,338.42/278,297.86
  6. Step 6: Final answer
    x = 295,031.40

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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.