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Finding the Fourth Proportional to 405,920.64, 608,180.88 and 269,059.68

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Solution

The fourth proportional to 405,920.64, 608,180.88 and 269,059.68 is: 403,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,920.64 : 608,180.88 = 269,059.68 : x
  2. Step 2: Convert to fraction form
    405,920.64/608,180.88 = 269,059.68/x
  3. Step 3: Cross multiply
    405,920.64x = 608,180.88 × 269,059.68
  4. Step 4: Simplify right side
    405,920.64x = 163,636,952,954.92
  5. Step 5: Solve for x
    x = 163,636,952,954.92/405,920.64
  6. Step 6: Final answer
    x = 403,125.48

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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.