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Finding the Fourth Proportional to 766,453.01, 1,149,814.61 and 316,922

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Solution

The fourth proportional to 766,453.01, 1,149,814.61 and 316,922 is: 475,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,453.01 : 1,149,814.61 = 316,922 : x
  2. Step 2: Convert to fraction form
    766,453.01/1,149,814.61 = 316,922/x
  3. Step 3: Cross multiply
    766,453.01x = 1,149,814.61 × 316,922
  4. Step 4: Simplify right side
    766,453.01x = 364,401,544,245.81
  5. Step 5: Solve for x
    x = 364,401,544,245.81/766,453.01
  6. Step 6: Final answer
    x = 475,438.86

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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.