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Finding the Fourth Proportional to 214,143, 321,234.30 and 56,372.28

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Solution

The fourth proportional to 214,143, 321,234.30 and 56,372.28 is: 84,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,143 : 321,234.30 = 56,372.28 : x
  2. Step 2: Convert to fraction form
    214,143/321,234.30 = 56,372.28/x
  3. Step 3: Cross multiply
    214,143x = 321,234.30 × 56,372.28
  4. Step 4: Simplify right side
    214,143x = 18,108,709,905.20
  5. Step 5: Solve for x
    x = 18,108,709,905.20/214,143
  6. Step 6: Final answer
    x = 84,563.63

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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.