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Finding the Fourth Proportional to 205,087.30, 307,630.95 and 186,388.45

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Solution

The fourth proportional to 205,087.30, 307,630.95 and 186,388.45 is: 279,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,087.30 : 307,630.95 = 186,388.45 : x
  2. Step 2: Convert to fraction form
    205,087.30/307,630.95 = 186,388.45/x
  3. Step 3: Cross multiply
    205,087.30x = 307,630.95 × 186,388.45
  4. Step 4: Simplify right side
    205,087.30x = 57,338,855,942.53
  5. Step 5: Solve for x
    x = 57,338,855,942.53/205,087.30
  6. Step 6: Final answer
    x = 279,582.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.