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Finding the Fourth Proportional to 361,488, 498,817.68 and 208,540.08

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Solution

The fourth proportional to 361,488, 498,817.68 and 208,540.08 is: 287,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,488 : 498,817.68 = 208,540.08 : x
  2. Step 2: Convert to fraction form
    361,488/498,817.68 = 208,540.08/x
  3. Step 3: Cross multiply
    361,488x = 498,817.68 × 208,540.08
  4. Step 4: Simplify right side
    361,488x = 104,023,478,892.61
  5. Step 5: Solve for x
    x = 104,023,478,892.61/361,488
  6. Step 6: Final answer
    x = 287,764.68

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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.