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Finding the Fourth Proportional to 651,974.40, 978,134.40 and 231,206.40

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Solution

The fourth proportional to 651,974.40, 978,134.40 and 231,206.40 is: 346,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,974.40 : 978,134.40 = 231,206.40 : x
  2. Step 2: Convert to fraction form
    651,974.40/978,134.40 = 231,206.40/x
  3. Step 3: Cross multiply
    651,974.40x = 978,134.40 × 231,206.40
  4. Step 4: Simplify right side
    651,974.40x = 226,150,933,340.16
  5. Step 5: Solve for x
    x = 226,150,933,340.16/651,974.40
  6. Step 6: Final answer
    x = 346,870.88

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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.