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Finding the Fourth Proportional to 214,189.80, 321,284.70 and 164,423.40

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Solution

The fourth proportional to 214,189.80, 321,284.70 and 164,423.40 is: 246,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,189.80 : 321,284.70 = 164,423.40 : x
  2. Step 2: Convert to fraction form
    214,189.80/321,284.70 = 164,423.40/x
  3. Step 3: Cross multiply
    214,189.80x = 321,284.70 × 164,423.40
  4. Step 4: Simplify right side
    214,189.80x = 52,826,722,741.98
  5. Step 5: Solve for x
    x = 52,826,722,741.98/214,189.80
  6. Step 6: Final answer
    x = 246,635.10

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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.