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Finding the Fourth Proportional to 211,223.75, 316,835.55 and 140,284.88

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Solution

The fourth proportional to 211,223.75, 316,835.55 and 140,284.88 is: 210,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,223.75 : 316,835.55 = 140,284.88 : x
  2. Step 2: Convert to fraction form
    211,223.75/316,835.55 = 140,284.88/x
  3. Step 3: Cross multiply
    211,223.75x = 316,835.55 × 140,284.88
  4. Step 4: Simplify right side
    211,223.75x = 44,447,235,527.31
  5. Step 5: Solve for x
    x = 44,447,235,527.31/211,223.75
  6. Step 6: Final answer
    x = 210,427.27

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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.