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Finding the Fourth Proportional to 320,428.80, 480,592.80 and 201,736.80

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Solution

The fourth proportional to 320,428.80, 480,592.80 and 201,736.80 is: 302,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,428.80 : 480,592.80 = 201,736.80 : x
  2. Step 2: Convert to fraction form
    320,428.80/480,592.80 = 201,736.80/x
  3. Step 3: Cross multiply
    320,428.80x = 480,592.80 × 201,736.80
  4. Step 4: Simplify right side
    320,428.80x = 96,953,253,575.04
  5. Step 5: Solve for x
    x = 96,953,253,575.04/320,428.80
  6. Step 6: Final answer
    x = 302,573.47

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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.