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Finding the Fourth Proportional to 328,443.17, 492,428.31 and 201,821.81

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Solution

The fourth proportional to 328,443.17, 492,428.31 and 201,821.81 is: 302,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,443.17 : 492,428.31 = 201,821.81 : x
  2. Step 2: Convert to fraction form
    328,443.17/492,428.31 = 201,821.81/x
  3. Step 3: Cross multiply
    328,443.17x = 492,428.31 × 201,821.81
  4. Step 4: Simplify right side
    328,443.17x = 99,382,770,357.30
  5. Step 5: Solve for x
    x = 99,382,770,357.30/328,443.17
  6. Step 6: Final answer
    x = 302,587.42

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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.