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Finding the Fourth Proportional to 542,361.62, 748,447.09 and 300,642.10

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Solution

The fourth proportional to 542,361.62, 748,447.09 and 300,642.10 is: 414,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,361.62 : 748,447.09 = 300,642.10 : x
  2. Step 2: Convert to fraction form
    542,361.62/748,447.09 = 300,642.10/x
  3. Step 3: Cross multiply
    542,361.62x = 748,447.09 × 300,642.10
  4. Step 4: Simplify right side
    542,361.62x = 225,014,702,253.77
  5. Step 5: Solve for x
    x = 225,014,702,253.77/542,361.62
  6. Step 6: Final answer
    x = 414,879.47

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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.