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Finding the Fourth Proportional to 342,262.51, 512,342.81 and 215,308.33

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Solution

The fourth proportional to 342,262.51, 512,342.81 and 215,308.33 is: 322,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,262.51 : 512,342.81 = 215,308.33 : x
  2. Step 2: Convert to fraction form
    342,262.51/512,342.81 = 215,308.33/x
  3. Step 3: Cross multiply
    342,262.51x = 512,342.81 × 215,308.33
  4. Step 4: Simplify right side
    342,262.51x = 110,311,676,140.54
  5. Step 5: Solve for x
    x = 110,311,676,140.54/342,262.51
  6. Step 6: Final answer
    x = 322,301.37

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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.