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Finding the Fourth Proportional to 589,324.52, 813,054.60 and 385,491.80

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Solution

The fourth proportional to 589,324.52, 813,054.60 and 385,491.80 is: 531,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,324.52 : 813,054.60 = 385,491.80 : x
  2. Step 2: Convert to fraction form
    589,324.52/813,054.60 = 385,491.80/x
  3. Step 3: Cross multiply
    589,324.52x = 813,054.60 × 385,491.80
  4. Step 4: Simplify right side
    589,324.52x = 313,425,881,252.28
  5. Step 5: Solve for x
    x = 313,425,881,252.28/589,324.52
  6. Step 6: Final answer
    x = 531,839.20

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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.