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Finding the Fourth Proportional to 231,605.40, 347,408.10 and 98,452.20

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Solution

The fourth proportional to 231,605.40, 347,408.10 and 98,452.20 is: 147,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,605.40 : 347,408.10 = 98,452.20 : x
  2. Step 2: Convert to fraction form
    231,605.40/347,408.10 = 98,452.20/x
  3. Step 3: Cross multiply
    231,605.40x = 347,408.10 × 98,452.20
  4. Step 4: Simplify right side
    231,605.40x = 34,203,091,742.82
  5. Step 5: Solve for x
    x = 34,203,091,742.82/231,605.40
  6. Step 6: Final answer
    x = 147,678.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.