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Finding the Fourth Proportional to 328,202.66, 492,304.05 and 103,580.57

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Solution

The fourth proportional to 328,202.66, 492,304.05 and 103,580.57 is: 155,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,202.66 : 492,304.05 = 103,580.57 : x
  2. Step 2: Convert to fraction form
    328,202.66/492,304.05 = 103,580.57/x
  3. Step 3: Cross multiply
    328,202.66x = 492,304.05 × 103,580.57
  4. Step 4: Simplify right side
    328,202.66x = 50,993,134,112.31
  5. Step 5: Solve for x
    x = 50,993,134,112.31/328,202.66
  6. Step 6: Final answer
    x = 155,370.87

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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.