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Finding the Fourth Proportional to 305,969, 422,227.68 and 168,147.60

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Solution

The fourth proportional to 305,969, 422,227.68 and 168,147.60 is: 232,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,969 : 422,227.68 = 168,147.60 : x
  2. Step 2: Convert to fraction form
    305,969/422,227.68 = 168,147.60/x
  3. Step 3: Cross multiply
    305,969x = 422,227.68 × 168,147.60
  4. Step 4: Simplify right side
    305,969x = 70,996,571,045.57
  5. Step 5: Solve for x
    x = 70,996,571,045.57/305,969
  6. Step 6: Final answer
    x = 232,038.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.