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Finding the Fourth Proportional to 589,428.50, 813,411.33 and 321,156.50

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Solution

The fourth proportional to 589,428.50, 813,411.33 and 321,156.50 is: 443,195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,428.50 : 813,411.33 = 321,156.50 : x
  2. Step 2: Convert to fraction form
    589,428.50/813,411.33 = 321,156.50/x
  3. Step 3: Cross multiply
    589,428.50x = 813,411.33 × 321,156.50
  4. Step 4: Simplify right side
    589,428.50x = 261,232,335,803.15
  5. Step 5: Solve for x
    x = 261,232,335,803.15/589,428.50
  6. Step 6: Final answer
    x = 443,195.97

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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.