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Finding the Fourth Proportional to 222,175.76, 306,283.56 and 158,402.88

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Solution

The fourth proportional to 222,175.76, 306,283.56 and 158,402.88 is: 218,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,175.76 : 306,283.56 = 158,402.88 : x
  2. Step 2: Convert to fraction form
    222,175.76/306,283.56 = 158,402.88/x
  3. Step 3: Cross multiply
    222,175.76x = 306,283.56 × 158,402.88
  4. Step 4: Simplify right side
    222,175.76x = 48,516,198,000.65
  5. Step 5: Solve for x
    x = 48,516,198,000.65/222,175.76
  6. Step 6: Final answer
    x = 218,368.55

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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.