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Finding the Fourth Proportional to 589,415.36, 813,392.64 and 321,143.36

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Solution

The fourth proportional to 589,415.36, 813,392.64 and 321,143.36 is: 443,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,415.36 : 813,392.64 = 321,143.36 : x
  2. Step 2: Convert to fraction form
    589,415.36/813,392.64 = 321,143.36/x
  3. Step 3: Cross multiply
    589,415.36x = 813,392.64 × 321,143.36
  4. Step 4: Simplify right side
    589,415.36x = 261,215,645,408.87
  5. Step 5: Solve for x
    x = 261,215,645,408.87/589,415.36
  6. Step 6: Final answer
    x = 443,177.53

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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.