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Finding the Fourth Proportional to 507,738.50, 700,686.82 and 278,293.94

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Solution

The fourth proportional to 507,738.50, 700,686.82 and 278,293.94 is: 384,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,738.50 : 700,686.82 = 278,293.94 : x
  2. Step 2: Convert to fraction form
    507,738.50/700,686.82 = 278,293.94/x
  3. Step 3: Cross multiply
    507,738.50x = 700,686.82 × 278,293.94
  4. Step 4: Simplify right side
    507,738.50x = 194,996,895,843.87
  5. Step 5: Solve for x
    x = 194,996,895,843.87/507,738.50
  6. Step 6: Final answer
    x = 384,049.85

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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.