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Finding the Fourth Proportional to 542,667, 748,880.46 and 300,986.58

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Solution

The fourth proportional to 542,667, 748,880.46 and 300,986.58 is: 415,361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,667 : 748,880.46 = 300,986.58 : x
  2. Step 2: Convert to fraction form
    542,667/748,880.46 = 300,986.58/x
  3. Step 3: Cross multiply
    542,667x = 748,880.46 × 300,986.58
  4. Step 4: Simplify right side
    542,667x = 225,402,968,484.23
  5. Step 5: Solve for x
    x = 225,402,968,484.23/542,667
  6. Step 6: Final answer
    x = 415,361.48

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1.5x scale

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.