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Finding the Fourth Proportional to 31,206.40, 46,712.40 and 30,234.40

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Solution

The fourth proportional to 31,206.40, 46,712.40 and 30,234.40 is: 45,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.40 : 46,712.40 = 30,234.40 : x
  2. Step 2: Convert to fraction form
    31,206.40/46,712.40 = 30,234.40/x
  3. Step 3: Cross multiply
    31,206.40x = 46,712.40 × 30,234.40
  4. Step 4: Simplify right side
    31,206.40x = 1,412,321,386.56
  5. Step 5: Solve for x
    x = 1,412,321,386.56/31,206.40
  6. Step 6: Final answer
    x = 45,257.43

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1.5x scale

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.