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Finding the Fourth Proportional to 222,169.76, 306,275.28 and 158,396.88

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Solution

The fourth proportional to 222,169.76, 306,275.28 and 158,396.88 is: 218,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,169.76 : 306,275.28 = 158,396.88 : x
  2. Step 2: Convert to fraction form
    222,169.76/306,275.28 = 158,396.88/x
  3. Step 3: Cross multiply
    222,169.76x = 306,275.28 × 158,396.88
  4. Step 4: Simplify right side
    222,169.76x = 48,513,048,773.13
  5. Step 5: Solve for x
    x = 48,513,048,773.13/222,169.76
  6. Step 6: Final answer
    x = 218,360.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.