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Finding the Fourth Proportional to 507,216.92, 699,959.31 and 280,862.42

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Solution

The fourth proportional to 507,216.92, 699,959.31 and 280,862.42 is: 387,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,216.92 : 699,959.31 = 280,862.42 : x
  2. Step 2: Convert to fraction form
    507,216.92/699,959.31 = 280,862.42/x
  3. Step 3: Cross multiply
    507,216.92x = 699,959.31 × 280,862.42
  4. Step 4: Simplify right side
    507,216.92x = 196,592,265,708.13
  5. Step 5: Solve for x
    x = 196,592,265,708.13/507,216.92
  6. Step 6: Final answer
    x = 387,590.12

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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.