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Finding the Fourth Proportional to 228,821.42, 315,734.81 and 152,454.42

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Solution

The fourth proportional to 228,821.42, 315,734.81 and 152,454.42 is: 210,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,821.42 : 315,734.81 = 152,454.42 : x
  2. Step 2: Convert to fraction form
    228,821.42/315,734.81 = 152,454.42/x
  3. Step 3: Cross multiply
    228,821.42x = 315,734.81 × 152,454.42
  4. Step 4: Simplify right side
    228,821.42x = 48,135,167,427.64
  5. Step 5: Solve for x
    x = 48,135,167,427.64/228,821.42
  6. Step 6: Final answer
    x = 210,361.28

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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.