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Finding the Fourth Proportional to 281,164.60, 421,280.32 and 197,883.64

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Solution

The fourth proportional to 281,164.60, 421,280.32 and 197,883.64 is: 296,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,164.60 : 421,280.32 = 197,883.64 : x
  2. Step 2: Convert to fraction form
    281,164.60/421,280.32 = 197,883.64/x
  3. Step 3: Cross multiply
    281,164.60x = 421,280.32 × 197,883.64
  4. Step 4: Simplify right side
    281,164.60x = 83,364,483,181.96
  5. Step 5: Solve for x
    x = 83,364,483,181.96/281,164.60
  6. Step 6: Final answer
    x = 296,497.08

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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.