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Finding the Fourth Proportional to 542,565.78, 748,749.78 and 300,858.54

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Solution

The fourth proportional to 542,565.78, 748,749.78 and 300,858.54 is: 415,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,565.78 : 748,749.78 = 300,858.54 : x
  2. Step 2: Convert to fraction form
    542,565.78/748,749.78 = 300,858.54/x
  3. Step 3: Cross multiply
    542,565.78x = 748,749.78 × 300,858.54
  4. Step 4: Simplify right side
    542,565.78x = 225,267,765,636.12
  5. Step 5: Solve for x
    x = 225,267,765,636.12/542,565.78
  6. Step 6: Final answer
    x = 415,189.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.