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Finding the Fourth Proportional to 211,236.40, 316,271.40 and 164,580.40

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Solution

The fourth proportional to 211,236.40, 316,271.40 and 164,580.40 is: 246,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,236.40 : 316,271.40 = 164,580.40 : x
  2. Step 2: Convert to fraction form
    211,236.40/316,271.40 = 164,580.40/x
  3. Step 3: Cross multiply
    211,236.40x = 316,271.40 × 164,580.40
  4. Step 4: Simplify right side
    211,236.40x = 52,052,073,520.56
  5. Step 5: Solve for x
    x = 52,052,073,520.56/211,236.40
  6. Step 6: Final answer
    x = 246,416.21

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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.