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Finding the Fourth Proportional to 405,989.52, 608,940.54 and 106,500.12

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Solution

The fourth proportional to 405,989.52, 608,940.54 and 106,500.12 is: 159,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,989.52 : 608,940.54 = 106,500.12 : x
  2. Step 2: Convert to fraction form
    405,989.52/608,940.54 = 106,500.12/x
  3. Step 3: Cross multiply
    405,989.52x = 608,940.54 × 106,500.12
  4. Step 4: Simplify right side
    405,989.52x = 64,852,240,582.86
  5. Step 5: Solve for x
    x = 64,852,240,582.86/405,989.52
  6. Step 6: Final answer
    x = 159,738.71

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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.