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Finding the Fourth Proportional to 266,146.76, 399,428.70 and 185,661.22

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Solution

The fourth proportional to 266,146.76, 399,428.70 and 185,661.22 is: 278,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,146.76 : 399,428.70 = 185,661.22 : x
  2. Step 2: Convert to fraction form
    266,146.76/399,428.70 = 185,661.22/x
  3. Step 3: Cross multiply
    266,146.76x = 399,428.70 × 185,661.22
  4. Step 4: Simplify right side
    266,146.76x = 74,158,419,745.01
  5. Step 5: Solve for x
    x = 74,158,419,745.01/266,146.76
  6. Step 6: Final answer
    x = 278,637.32

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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.