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Finding the Fourth Proportional to 328,433.16, 492,650.78 and 91,774.28

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Solution

The fourth proportional to 328,433.16, 492,650.78 and 91,774.28 is: 137,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,433.16 : 492,650.78 = 91,774.28 : x
  2. Step 2: Convert to fraction form
    328,433.16/492,650.78 = 91,774.28/x
  3. Step 3: Cross multiply
    328,433.16x = 492,650.78 × 91,774.28
  4. Step 4: Simplify right side
    328,433.16x = 45,212,670,625.94
  5. Step 5: Solve for x
    x = 45,212,670,625.94/328,433.16
  6. Step 6: Final answer
    x = 137,661.71

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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.