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Finding the Fourth Proportional to 268,578.90, 403,054.65 and 202,158.90

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Solution

The fourth proportional to 268,578.90, 403,054.65 and 202,158.90 is: 303,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,578.90 : 403,054.65 = 202,158.90 : x
  2. Step 2: Convert to fraction form
    268,578.90/403,054.65 = 202,158.90/x
  3. Step 3: Cross multiply
    268,578.90x = 403,054.65 × 202,158.90
  4. Step 4: Simplify right side
    268,578.90x = 81,481,084,683.89
  5. Step 5: Solve for x
    x = 81,481,084,683.89/268,578.90
  6. Step 6: Final answer
    x = 303,378.58

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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.