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Finding the Fourth Proportional to 405,639.40, 608,831.10 and 206,098.60

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Solution

The fourth proportional to 405,639.40, 608,831.10 and 206,098.60 is: 309,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,639.40 : 608,831.10 = 206,098.60 : x
  2. Step 2: Convert to fraction form
    405,639.40/608,831.10 = 206,098.60/x
  3. Step 3: Cross multiply
    405,639.40x = 608,831.10 × 206,098.60
  4. Step 4: Simplify right side
    405,639.40x = 125,479,237,346.46
  5. Step 5: Solve for x
    x = 125,479,237,346.46/405,639.40
  6. Step 6: Final answer
    x = 309,336.91

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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.