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Finding the Fourth Proportional to 339,804, 509,767.48 and 140,013.28

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Solution

The fourth proportional to 339,804, 509,767.48 and 140,013.28 is: 210,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,804 : 509,767.48 = 140,013.28 : x
  2. Step 2: Convert to fraction form
    339,804/509,767.48 = 140,013.28/x
  3. Step 3: Cross multiply
    339,804x = 509,767.48 × 140,013.28
  4. Step 4: Simplify right side
    339,804x = 71,374,216,912.13
  5. Step 5: Solve for x
    x = 71,374,216,912.13/339,804
  6. Step 6: Final answer
    x = 210,045.25

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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.