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Finding the Fourth Proportional to 211,255.68, 316,546.56 and 154,834.56

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Solution

The fourth proportional to 211,255.68, 316,546.56 and 154,834.56 is: 232,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,255.68 : 316,546.56 = 154,834.56 : x
  2. Step 2: Convert to fraction form
    211,255.68/316,546.56 = 154,834.56/x
  3. Step 3: Cross multiply
    211,255.68x = 316,546.56 × 154,834.56
  4. Step 4: Simplify right side
    211,255.68x = 49,012,347,337.11
  5. Step 5: Solve for x
    x = 49,012,347,337.11/211,255.68
  6. Step 6: Final answer
    x = 232,004.87

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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.