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Finding the Fourth Proportional to 542,149, 748,182.02 and 300,408.96

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Solution

The fourth proportional to 542,149, 748,182.02 and 300,408.96 is: 414,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,149 : 748,182.02 = 300,408.96 : x
  2. Step 2: Convert to fraction form
    542,149/748,182.02 = 300,408.96/x
  3. Step 3: Cross multiply
    542,149x = 748,182.02 × 300,408.96
  4. Step 4: Simplify right side
    542,149x = 224,760,582,518.90
  5. Step 5: Solve for x
    x = 224,760,582,518.90/542,149
  6. Step 6: Final answer
    x = 414,573.45

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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.