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Finding the Fourth Proportional to 383,690.80, 576,227.40 and 278,628.40

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Solution

The fourth proportional to 383,690.80, 576,227.40 and 278,628.40 is: 418,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,690.80 : 576,227.40 = 278,628.40 : x
  2. Step 2: Convert to fraction form
    383,690.80/576,227.40 = 278,628.40/x
  3. Step 3: Cross multiply
    383,690.80x = 576,227.40 × 278,628.40
  4. Step 4: Simplify right side
    383,690.80x = 160,553,318,498.16
  5. Step 5: Solve for x
    x = 160,553,318,498.16/383,690.80
  6. Step 6: Final answer
    x = 418,444.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.