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Finding the Fourth Proportional to 307,716.94, 461,402.27 and 211,766.86

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Solution

The fourth proportional to 307,716.94, 461,402.27 and 211,766.86 is: 317,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,716.94 : 461,402.27 = 211,766.86 : x
  2. Step 2: Convert to fraction form
    307,716.94/461,402.27 = 211,766.86/x
  3. Step 3: Cross multiply
    307,716.94x = 461,402.27 × 211,766.86
  4. Step 4: Simplify right side
    307,716.94x = 97,709,709,914.77
  5. Step 5: Solve for x
    x = 97,709,709,914.77/307,716.94
  6. Step 6: Final answer
    x = 317,531.14

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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.