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Finding the Fourth Proportional to 361,209.76, 498,474.74 and 208,245.32

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Solution

The fourth proportional to 361,209.76, 498,474.74 and 208,245.32 is: 287,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,209.76 : 498,474.74 = 208,245.32 : x
  2. Step 2: Convert to fraction form
    361,209.76/498,474.74 = 208,245.32/x
  3. Step 3: Cross multiply
    361,209.76x = 498,474.74 × 208,245.32
  4. Step 4: Simplify right side
    361,209.76x = 103,805,031,743.22
  5. Step 5: Solve for x
    x = 103,805,031,743.22/361,209.76
  6. Step 6: Final answer
    x = 287,381.58

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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.