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Finding the Fourth Proportional to 507,884.28, 700,843.74 and 278,404.92

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Solution

The fourth proportional to 507,884.28, 700,843.74 and 278,404.92 is: 384,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,884.28 : 700,843.74 = 278,404.92 : x
  2. Step 2: Convert to fraction form
    507,884.28/700,843.74 = 278,404.92/x
  3. Step 3: Cross multiply
    507,884.28x = 700,843.74 × 278,404.92
  4. Step 4: Simplify right side
    507,884.28x = 195,118,345,367.20
  5. Step 5: Solve for x
    x = 195,118,345,367.20/507,884.28
  6. Step 6: Final answer
    x = 384,178.75

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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.