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Finding the Fourth Proportional to 307,766.94, 461,489.60 and 139,206.74

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Solution

The fourth proportional to 307,766.94, 461,489.60 and 139,206.74 is: 208,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,766.94 : 461,489.60 = 139,206.74 : x
  2. Step 2: Convert to fraction form
    307,766.94/461,489.60 = 139,206.74/x
  3. Step 3: Cross multiply
    307,766.94x = 461,489.60 × 139,206.74
  4. Step 4: Simplify right side
    307,766.94x = 64,242,462,759.90
  5. Step 5: Solve for x
    x = 64,242,462,759.90/307,766.94
  6. Step 6: Final answer
    x = 208,737.37

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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.