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Finding the Fourth Proportional to 266,983.21, 368,435.50 and 144,475.50

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Solution

The fourth proportional to 266,983.21, 368,435.50 and 144,475.50 is: 199,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,983.21 : 368,435.50 = 144,475.50 : x
  2. Step 2: Convert to fraction form
    266,983.21/368,435.50 = 144,475.50/x
  3. Step 3: Cross multiply
    266,983.21x = 368,435.50 × 144,475.50
  4. Step 4: Simplify right side
    266,983.21x = 53,229,903,260.84
  5. Step 5: Solve for x
    x = 53,229,903,260.84/266,983.21
  6. Step 6: Final answer
    x = 199,375.47

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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.