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Finding the Fourth Proportional to 542,556.54, 748,746.54 and 300,825

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Solution

The fourth proportional to 542,556.54, 748,746.54 and 300,825 is: 415,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,556.54 : 748,746.54 = 300,825 : x
  2. Step 2: Convert to fraction form
    542,556.54/748,746.54 = 300,825/x
  3. Step 3: Cross multiply
    542,556.54x = 748,746.54 × 300,825
  4. Step 4: Simplify right side
    542,556.54x = 225,241,677,895.50
  5. Step 5: Solve for x
    x = 225,241,677,895.50/542,556.54
  6. Step 6: Final answer
    x = 415,148.77

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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.