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Finding the Fourth Proportional to 360,905.85, 498,174.63 and 208,005.03

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Solution

The fourth proportional to 360,905.85, 498,174.63 and 208,005.03 is: 287,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,905.85 : 498,174.63 = 208,005.03 : x
  2. Step 2: Convert to fraction form
    360,905.85/498,174.63 = 208,005.03/x
  3. Step 3: Cross multiply
    360,905.85x = 498,174.63 × 208,005.03
  4. Step 4: Simplify right side
    360,905.85x = 103,622,828,858.39
  5. Step 5: Solve for x
    x = 103,622,828,858.39/360,905.85
  6. Step 6: Final answer
    x = 287,118.73

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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.