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Finding the Fourth Proportional to 650,936.40, 976,231.80 and 201,656.40

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Solution

The fourth proportional to 650,936.40, 976,231.80 and 201,656.40 is: 302,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,936.40 : 976,231.80 = 201,656.40 : x
  2. Step 2: Convert to fraction form
    650,936.40/976,231.80 = 201,656.40/x
  3. Step 3: Cross multiply
    650,936.40x = 976,231.80 × 201,656.40
  4. Step 4: Simplify right side
    650,936.40x = 196,863,390,353.52
  5. Step 5: Solve for x
    x = 196,863,390,353.52/650,936.40
  6. Step 6: Final answer
    x = 302,431.07

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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.