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Finding the Fourth Proportional to 361,335.34, 498,629.53 and 208,379.98

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Solution

The fourth proportional to 361,335.34, 498,629.53 and 208,379.98 is: 287,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,335.34 : 498,629.53 = 208,379.98 : x
  2. Step 2: Convert to fraction form
    361,335.34/498,629.53 = 208,379.98/x
  3. Step 3: Cross multiply
    361,335.34x = 498,629.53 × 208,379.98
  4. Step 4: Simplify right side
    361,335.34x = 103,904,411,488.81
  5. Step 5: Solve for x
    x = 103,904,411,488.81/361,335.34
  6. Step 6: Final answer
    x = 287,556.74

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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.