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Finding the Fourth Proportional to 222,258.87, 306,714.87 and 120,282.10

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Solution

The fourth proportional to 222,258.87, 306,714.87 and 120,282.10 is: 165,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,258.87 : 306,714.87 = 120,282.10 : x
  2. Step 2: Convert to fraction form
    222,258.87/306,714.87 = 120,282.10/x
  3. Step 3: Cross multiply
    222,258.87x = 306,714.87 × 120,282.10
  4. Step 4: Simplify right side
    222,258.87x = 36,892,307,898.04
  5. Step 5: Solve for x
    x = 36,892,307,898.04/222,258.87
  6. Step 6: Final answer
    x = 165,988.01

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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.