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Finding the Fourth Proportional to 438,945, 605,744.10 and 237,741

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Solution

The fourth proportional to 438,945, 605,744.10 and 237,741 is: 328,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,945 : 605,744.10 = 237,741 : x
  2. Step 2: Convert to fraction form
    438,945/605,744.10 = 237,741/x
  3. Step 3: Cross multiply
    438,945x = 605,744.10 × 237,741
  4. Step 4: Simplify right side
    438,945x = 144,010,208,078.10
  5. Step 5: Solve for x
    x = 144,010,208,078.10/438,945
  6. Step 6: Final answer
    x = 328,082.58

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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.