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Finding the Fourth Proportional to 300,206.40, 450,164.16 and 122,642.88

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Solution

The fourth proportional to 300,206.40, 450,164.16 and 122,642.88 is: 183,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,206.40 : 450,164.16 = 122,642.88 : x
  2. Step 2: Convert to fraction form
    300,206.40/450,164.16 = 122,642.88/x
  3. Step 3: Cross multiply
    300,206.40x = 450,164.16 × 122,642.88
  4. Step 4: Simplify right side
    300,206.40x = 55,209,429,055.18
  5. Step 5: Solve for x
    x = 55,209,429,055.18/300,206.40
  6. Step 6: Final answer
    x = 183,904.90

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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.