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Finding the Fourth Proportional to 589,296, 813,228.48 and 321,024

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Solution

The fourth proportional to 589,296, 813,228.48 and 321,024 is: 443,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,296 : 813,228.48 = 321,024 : x
  2. Step 2: Convert to fraction form
    589,296/813,228.48 = 321,024/x
  3. Step 3: Cross multiply
    589,296x = 813,228.48 × 321,024
  4. Step 4: Simplify right side
    589,296x = 261,065,859,563.52
  5. Step 5: Solve for x
    x = 261,065,859,563.52/589,296
  6. Step 6: Final answer
    x = 443,013.12

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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.