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Finding the Fourth Proportional to 340,481.36, 510,804.76 and 103,828.24

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Solution

The fourth proportional to 340,481.36, 510,804.76 and 103,828.24 is: 155,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,481.36 : 510,804.76 = 103,828.24 : x
  2. Step 2: Convert to fraction form
    340,481.36/510,804.76 = 103,828.24/x
  3. Step 3: Cross multiply
    340,481.36x = 510,804.76 × 103,828.24
  4. Step 4: Simplify right side
    340,481.36x = 53,035,959,214.42
  5. Step 5: Solve for x
    x = 53,035,959,214.42/340,481.36
  6. Step 6: Final answer
    x = 155,767.59

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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.