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Finding the Fourth Proportional to 315,091.80, 434,868.48 and 200,381.28

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Solution

The fourth proportional to 315,091.80, 434,868.48 and 200,381.28 is: 276,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,091.80 : 434,868.48 = 200,381.28 : x
  2. Step 2: Convert to fraction form
    315,091.80/434,868.48 = 200,381.28/x
  3. Step 3: Cross multiply
    315,091.80x = 434,868.48 × 200,381.28
  4. Step 4: Simplify right side
    315,091.80x = 87,139,502,654.05
  5. Step 5: Solve for x
    x = 87,139,502,654.05/315,091.80
  6. Step 6: Final answer
    x = 276,552.75

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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.