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Finding the Fourth Proportional to 589,200, 813,096 and 320,928

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Solution

The fourth proportional to 589,200, 813,096 and 320,928 is: 442,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,200 : 813,096 = 320,928 : x
  2. Step 2: Convert to fraction form
    589,200/813,096 = 320,928/x
  3. Step 3: Cross multiply
    589,200x = 813,096 × 320,928
  4. Step 4: Simplify right side
    589,200x = 260,945,273,088
  5. Step 5: Solve for x
    x = 260,945,273,088/589,200
  6. Step 6: Final answer
    x = 442,880.64

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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.