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Finding the Fourth Proportional to 361,689.84, 499,028.40 and 208,716.48

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Solution

The fourth proportional to 361,689.84, 499,028.40 and 208,716.48 is: 287,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,689.84 : 499,028.40 = 208,716.48 : x
  2. Step 2: Convert to fraction form
    361,689.84/499,028.40 = 208,716.48/x
  3. Step 3: Cross multiply
    361,689.84x = 499,028.40 × 208,716.48
  4. Step 4: Simplify right side
    361,689.84x = 104,155,451,068.03
  5. Step 5: Solve for x
    x = 104,155,451,068.03/361,689.84
  6. Step 6: Final answer
    x = 287,968.97

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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.