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Finding the Fourth Proportional to 328,496.66, 492,105.89 and 215,834.57

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Solution

The fourth proportional to 328,496.66, 492,105.89 and 215,834.57 is: 323,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,496.66 : 492,105.89 = 215,834.57 : x
  2. Step 2: Convert to fraction form
    328,496.66/492,105.89 = 215,834.57/x
  3. Step 3: Cross multiply
    328,496.66x = 492,105.89 × 215,834.57
  4. Step 4: Simplify right side
    328,496.66x = 106,213,460,702.09
  5. Step 5: Solve for x
    x = 106,213,460,702.09/328,496.66
  6. Step 6: Final answer
    x = 323,331.94

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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.