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Finding the Fourth Proportional to 707,513.70, 976,217.22 and 420,977.82

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Solution

The fourth proportional to 707,513.70, 976,217.22 and 420,977.82 is: 580,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,513.70 : 976,217.22 = 420,977.82 : x
  2. Step 2: Convert to fraction form
    707,513.70/976,217.22 = 420,977.82/x
  3. Step 3: Cross multiply
    707,513.70x = 976,217.22 × 420,977.82
  4. Step 4: Simplify right side
    707,513.70x = 410,965,797,122.06
  5. Step 5: Solve for x
    x = 410,965,797,122.06/707,513.70
  6. Step 6: Final answer
    x = 580,859.14

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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.