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Finding the Fourth Proportional to 507,865.78, 700,850.28 and 278,418.90

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Solution

The fourth proportional to 507,865.78, 700,850.28 and 278,418.90 is: 384,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,865.78 : 700,850.28 = 278,418.90 : x
  2. Step 2: Convert to fraction form
    507,865.78/700,850.28 = 278,418.90/x
  3. Step 3: Cross multiply
    507,865.78x = 700,850.28 × 278,418.90
  4. Step 4: Simplify right side
    507,865.78x = 195,129,964,022.29
  5. Step 5: Solve for x
    x = 195,129,964,022.29/507,865.78
  6. Step 6: Final answer
    x = 384,215.62

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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.