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Finding the Fourth Proportional to 220,810.60, 304,719.78 and 120,209.32

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Solution

The fourth proportional to 220,810.60, 304,719.78 and 120,209.32 is: 165,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,810.60 : 304,719.78 = 120,209.32 : x
  2. Step 2: Convert to fraction form
    220,810.60/304,719.78 = 120,209.32/x
  3. Step 3: Cross multiply
    220,810.60x = 304,719.78 × 120,209.32
  4. Step 4: Simplify right side
    220,810.60x = 36,630,157,544.35
  5. Step 5: Solve for x
    x = 36,630,157,544.35/220,810.60
  6. Step 6: Final answer
    x = 165,889.49

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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.