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Finding the Fourth Proportional to 393,049, 542,408.16 and 214,201

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Solution

The fourth proportional to 393,049, 542,408.16 and 214,201 is: 295,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,049 : 542,408.16 = 214,201 : x
  2. Step 2: Convert to fraction form
    393,049/542,408.16 = 214,201/x
  3. Step 3: Cross multiply
    393,049x = 542,408.16 × 214,201
  4. Step 4: Simplify right side
    393,049x = 116,184,370,280.16
  5. Step 5: Solve for x
    x = 116,184,370,280.16/393,049
  6. Step 6: Final answer
    x = 295,597.67

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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.