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Finding the Fourth Proportional to 266,889, 368,311.50 and 146,040.87

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Solution

The fourth proportional to 266,889, 368,311.50 and 146,040.87 is: 201,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,889 : 368,311.50 = 146,040.87 : x
  2. Step 2: Convert to fraction form
    266,889/368,311.50 = 146,040.87/x
  3. Step 3: Cross multiply
    266,889x = 368,311.50 × 146,040.87
  4. Step 4: Simplify right side
    266,889x = 53,788,531,891.01
  5. Step 5: Solve for x
    x = 53,788,531,891.01/266,889
  6. Step 6: Final answer
    x = 201,538.96

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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.