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Finding the Fourth Proportional to 328,142.81, 492,241.98 and 91,485.70

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Solution

The fourth proportional to 328,142.81, 492,241.98 and 91,485.70 is: 137,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,142.81 : 492,241.98 = 91,485.70 : x
  2. Step 2: Convert to fraction form
    328,142.81/492,241.98 = 91,485.70/x
  3. Step 3: Cross multiply
    328,142.81x = 492,241.98 × 91,485.70
  4. Step 4: Simplify right side
    328,142.81x = 45,033,102,109.69
  5. Step 5: Solve for x
    x = 45,033,102,109.69/328,142.81
  6. Step 6: Final answer
    x = 137,236.29

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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.