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Finding the Fourth Proportional to 268,664.40, 403,142.40 and 110,908.80

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Solution

The fourth proportional to 268,664.40, 403,142.40 and 110,908.80 is: 166,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,664.40 : 403,142.40 = 110,908.80 : x
  2. Step 2: Convert to fraction form
    268,664.40/403,142.40 = 110,908.80/x
  3. Step 3: Cross multiply
    268,664.40x = 403,142.40 × 110,908.80
  4. Step 4: Simplify right side
    268,664.40x = 44,712,039,813.12
  5. Step 5: Solve for x
    x = 44,712,039,813.12/268,664.40
  6. Step 6: Final answer
    x = 166,423.39

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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.