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Finding the Fourth Proportional to 304,205.48, 419,364.42 and 208,560.68

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Solution

The fourth proportional to 304,205.48, 419,364.42 and 208,560.68 is: 287,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,205.48 : 419,364.42 = 208,560.68 : x
  2. Step 2: Convert to fraction form
    304,205.48/419,364.42 = 208,560.68/x
  3. Step 3: Cross multiply
    304,205.48x = 419,364.42 × 208,560.68
  4. Step 4: Simplify right side
    304,205.48x = 87,462,928,603.01
  5. Step 5: Solve for x
    x = 87,462,928,603.01/304,205.48
  6. Step 6: Final answer
    x = 287,512.67

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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.