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Finding the Fourth Proportional to 230,414.40, 345,840.30 and 141,840.90

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Solution

The fourth proportional to 230,414.40, 345,840.30 and 141,840.90 is: 212,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,414.40 : 345,840.30 = 141,840.90 : x
  2. Step 2: Convert to fraction form
    230,414.40/345,840.30 = 141,840.90/x
  3. Step 3: Cross multiply
    230,414.40x = 345,840.30 × 141,840.90
  4. Step 4: Simplify right side
    230,414.40x = 49,054,299,408.27
  5. Step 5: Solve for x
    x = 49,054,299,408.27/230,414.40
  6. Step 6: Final answer
    x = 212,895.98

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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.