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Finding the Fourth Proportional to 338,491.20, 507,736.80 and 233,428.80

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Solution

The fourth proportional to 338,491.20, 507,736.80 and 233,428.80 is: 350,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,491.20 : 507,736.80 = 233,428.80 : x
  2. Step 2: Convert to fraction form
    338,491.20/507,736.80 = 233,428.80/x
  3. Step 3: Cross multiply
    338,491.20x = 507,736.80 × 233,428.80
  4. Step 4: Simplify right side
    338,491.20x = 118,520,391,939.84
  5. Step 5: Solve for x
    x = 118,520,391,939.84/338,491.20
  6. Step 6: Final answer
    x = 350,143.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.