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Finding the Fourth Proportional to 328,053.78, 490,969.28 and 201,774.14

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Solution

The fourth proportional to 328,053.78, 490,969.28 and 201,774.14 is: 301,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,053.78 : 490,969.28 = 201,774.14 : x
  2. Step 2: Convert to fraction form
    328,053.78/490,969.28 = 201,774.14/x
  3. Step 3: Cross multiply
    328,053.78x = 490,969.28 × 201,774.14
  4. Step 4: Simplify right side
    328,053.78x = 99,064,904,129.14
  5. Step 5: Solve for x
    x = 99,064,904,129.14/328,053.78
  6. Step 6: Final answer
    x = 301,977.63

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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.