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Finding the Fourth Proportional to 300,322.06, 414,264.25 and 198,347.72

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Solution

The fourth proportional to 300,322.06, 414,264.25 and 198,347.72 is: 273,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,322.06 : 414,264.25 = 198,347.72 : x
  2. Step 2: Convert to fraction form
    300,322.06/414,264.25 = 198,347.72/x
  3. Step 3: Cross multiply
    300,322.06x = 414,264.25 × 198,347.72
  4. Step 4: Simplify right side
    300,322.06x = 82,168,369,465.01
  5. Step 5: Solve for x
    x = 82,168,369,465.01/300,322.06
  6. Step 6: Final answer
    x = 273,600.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.