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Finding the Fourth Proportional to 589,440, 813,427.32 and 321,168

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Solution

The fourth proportional to 589,440, 813,427.32 and 321,168 is: 443,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,440 : 813,427.32 = 321,168 : x
  2. Step 2: Convert to fraction form
    589,440/813,427.32 = 321,168/x
  3. Step 3: Cross multiply
    589,440x = 813,427.32 × 321,168
  4. Step 4: Simplify right side
    589,440x = 261,246,825,509.76
  5. Step 5: Solve for x
    x = 261,246,825,509.76/589,440
  6. Step 6: Final answer
    x = 443,211.91

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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.