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Finding the Fourth Proportional to 253,908.93, 380,447.82 and 154,099.70

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Solution

The fourth proportional to 253,908.93, 380,447.82 and 154,099.70 is: 230,897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,908.93 : 380,447.82 = 154,099.70 : x
  2. Step 2: Convert to fraction form
    253,908.93/380,447.82 = 154,099.70/x
  3. Step 3: Cross multiply
    253,908.93x = 380,447.82 × 154,099.70
  4. Step 4: Simplify right side
    253,908.93x = 58,626,893,025.41
  5. Step 5: Solve for x
    x = 58,626,893,025.41/253,908.93
  6. Step 6: Final answer
    x = 230,897.33

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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.