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Finding the Fourth Proportional to 438,723, 658,087.92 and 106,299

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Solution

The fourth proportional to 438,723, 658,087.92 and 106,299 is: 159,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,723 : 658,087.92 = 106,299 : x
  2. Step 2: Convert to fraction form
    438,723/658,087.92 = 106,299/x
  3. Step 3: Cross multiply
    438,723x = 658,087.92 × 106,299
  4. Step 4: Simplify right side
    438,723x = 69,954,087,808.08
  5. Step 5: Solve for x
    x = 69,954,087,808.08/438,723
  6. Step 6: Final answer
    x = 159,449.33

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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.