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Finding the Fourth Proportional to 507,212.97, 699,945.33 and 280,853.61

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Solution

The fourth proportional to 507,212.97, 699,945.33 and 280,853.61 is: 387,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,212.97 : 699,945.33 = 280,853.61 : x
  2. Step 2: Convert to fraction form
    507,212.97/699,945.33 = 280,853.61/x
  3. Step 3: Cross multiply
    507,212.97x = 699,945.33 × 280,853.61
  4. Step 4: Simplify right side
    507,212.97x = 196,582,172,733.14
  5. Step 5: Solve for x
    x = 196,582,172,733.14/507,212.97
  6. Step 6: Final answer
    x = 387,573.24

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1.5x scale

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.