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Finding the Fourth Proportional to 507,481.63, 700,324.62 and 278,047.61

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Solution

The fourth proportional to 507,481.63, 700,324.62 and 278,047.61 is: 383,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,481.63 : 700,324.62 = 278,047.61 : x
  2. Step 2: Convert to fraction form
    507,481.63/700,324.62 = 278,047.61/x
  3. Step 3: Cross multiply
    507,481.63x = 700,324.62 × 278,047.61
  4. Step 4: Simplify right side
    507,481.63x = 194,723,586,815.16
  5. Step 5: Solve for x
    x = 194,723,586,815.16/507,481.63
  6. Step 6: Final answer
    x = 383,705.69

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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.