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Finding the Fourth Proportional to 268,396.20, 402,642.90 and 110,640.60

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Solution

The fourth proportional to 268,396.20, 402,642.90 and 110,640.60 is: 165,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,396.20 : 402,642.90 = 110,640.60 : x
  2. Step 2: Convert to fraction form
    268,396.20/402,642.90 = 110,640.60/x
  3. Step 3: Cross multiply
    268,396.20x = 402,642.90 × 110,640.60
  4. Step 4: Simplify right side
    268,396.20x = 44,548,652,041.74
  5. Step 5: Solve for x
    x = 44,548,652,041.74/268,396.20
  6. Step 6: Final answer
    x = 165,980.93

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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.