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Finding the Fourth Proportional to 340,900.13, 511,424 and 130,538.07

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Solution

The fourth proportional to 340,900.13, 511,424 and 130,538.07 is: 195,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,900.13 : 511,424 = 130,538.07 : x
  2. Step 2: Convert to fraction form
    340,900.13/511,424 = 130,538.07/x
  3. Step 3: Cross multiply
    340,900.13x = 511,424 × 130,538.07
  4. Step 4: Simplify right side
    340,900.13x = 66,760,301,911.68
  5. Step 5: Solve for x
    x = 66,760,301,911.68/340,900.13
  6. Step 6: Final answer
    x = 195,835.37

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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.