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Finding the Fourth Proportional to 307,835.70, 461,753.55 and 139,355.70

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Solution

The fourth proportional to 307,835.70, 461,753.55 and 139,355.70 is: 209,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,835.70 : 461,753.55 = 139,355.70 : x
  2. Step 2: Convert to fraction form
    307,835.70/461,753.55 = 139,355.70/x
  3. Step 3: Cross multiply
    307,835.70x = 461,753.55 × 139,355.70
  4. Step 4: Simplify right side
    307,835.70x = 64,347,989,187.74
  5. Step 5: Solve for x
    x = 64,347,989,187.74/307,835.70
  6. Step 6: Final answer
    x = 209,033.55

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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.