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Finding the Fourth Proportional to 263,152, 363,158.40 and 143,920

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Solution

The fourth proportional to 263,152, 363,158.40 and 143,920 is: 198,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,152 : 363,158.40 = 143,920 : x
  2. Step 2: Convert to fraction form
    263,152/363,158.40 = 143,920/x
  3. Step 3: Cross multiply
    263,152x = 363,158.40 × 143,920
  4. Step 4: Simplify right side
    263,152x = 52,265,756,928
  5. Step 5: Solve for x
    x = 52,265,756,928/263,152
  6. Step 6: Final answer
    x = 198,614.33

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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.