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Finding the Fourth Proportional to 268,420.22, 402,568.06 and 118,578.77

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Solution

The fourth proportional to 268,420.22, 402,568.06 and 118,578.77 is: 177,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,420.22 : 402,568.06 = 118,578.77 : x
  2. Step 2: Convert to fraction form
    268,420.22/402,568.06 = 118,578.77/x
  3. Step 3: Cross multiply
    268,420.22x = 402,568.06 × 118,578.77
  4. Step 4: Simplify right side
    268,420.22x = 47,736,025,396.09
  5. Step 5: Solve for x
    x = 47,736,025,396.09/268,420.22
  6. Step 6: Final answer
    x = 177,840.65

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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.