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Finding the Fourth Proportional to 214,938.40, 322,407.60 and 201,816.40

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Solution

The fourth proportional to 214,938.40, 322,407.60 and 201,816.40 is: 302,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,938.40 : 322,407.60 = 201,816.40 : x
  2. Step 2: Convert to fraction form
    214,938.40/322,407.60 = 201,816.40/x
  3. Step 3: Cross multiply
    214,938.40x = 322,407.60 × 201,816.40
  4. Step 4: Simplify right side
    214,938.40x = 65,067,141,164.64
  5. Step 5: Solve for x
    x = 65,067,141,164.64/214,938.40
  6. Step 6: Final answer
    x = 302,724.60

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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.