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Finding the Fourth Proportional to 542,115.30, 748,097.64 and 300,408.06

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Solution

The fourth proportional to 542,115.30, 748,097.64 and 300,408.06 is: 414,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,115.30 : 748,097.64 = 300,408.06 : x
  2. Step 2: Convert to fraction form
    542,115.30/748,097.64 = 300,408.06/x
  3. Step 3: Cross multiply
    542,115.30x = 748,097.64 × 300,408.06
  4. Step 4: Simplify right side
    542,115.30x = 224,734,560,722.98
  5. Step 5: Solve for x
    x = 224,734,560,722.98/542,115.30
  6. Step 6: Final answer
    x = 414,551.22

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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.