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Finding the Fourth Proportional to 340,588.20, 511,112.70 and 190,828.20

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Solution

The fourth proportional to 340,588.20, 511,112.70 and 190,828.20 is: 286,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,588.20 : 511,112.70 = 190,828.20 : x
  2. Step 2: Convert to fraction form
    340,588.20/511,112.70 = 190,828.20/x
  3. Step 3: Cross multiply
    340,588.20x = 511,112.70 × 190,828.20
  4. Step 4: Simplify right side
    340,588.20x = 97,534,716,538.14
  5. Step 5: Solve for x
    x = 97,534,716,538.14/340,588.20
  6. Step 6: Final answer
    x = 286,371.39

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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.