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Finding the Fourth Proportional to 589,425, 813,406.50 and 321,153

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Solution

The fourth proportional to 589,425, 813,406.50 and 321,153 is: 443,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,425 : 813,406.50 = 321,153 : x
  2. Step 2: Convert to fraction form
    589,425/813,406.50 = 321,153/x
  3. Step 3: Cross multiply
    589,425x = 813,406.50 × 321,153
  4. Step 4: Simplify right side
    589,425x = 261,227,937,694.50
  5. Step 5: Solve for x
    x = 261,227,937,694.50/589,425
  6. Step 6: Final answer
    x = 443,191.14

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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.