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Finding the Fourth Proportional to 307,712.57, 461,395.71 and 211,762.49

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Solution

The fourth proportional to 307,712.57, 461,395.71 and 211,762.49 is: 317,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,712.57 : 461,395.71 = 211,762.49 : x
  2. Step 2: Convert to fraction form
    307,712.57/461,395.71 = 211,762.49/x
  3. Step 3: Cross multiply
    307,712.57x = 461,395.71 × 211,762.49
  4. Step 4: Simplify right side
    307,712.57x = 97,706,302,117.94
  5. Step 5: Solve for x
    x = 97,706,302,117.94/307,712.57
  6. Step 6: Final answer
    x = 317,524.58

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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.