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Finding the Fourth Proportional to 507,650.20, 700,542 and 278,204.68

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Solution

The fourth proportional to 507,650.20, 700,542 and 278,204.68 is: 383,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,650.20 : 700,542 = 278,204.68 : x
  2. Step 2: Convert to fraction form
    507,650.20/700,542 = 278,204.68/x
  3. Step 3: Cross multiply
    507,650.20x = 700,542 × 278,204.68
  4. Step 4: Simplify right side
    507,650.20x = 194,894,062,936.56
  5. Step 5: Solve for x
    x = 194,894,062,936.56/507,650.20
  6. Step 6: Final answer
    x = 383,914.09

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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.