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Finding the Fourth Proportional to 399,087.80, 598,631.70 and 185,855.30

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Solution

The fourth proportional to 399,087.80, 598,631.70 and 185,855.30 is: 278,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,087.80 : 598,631.70 = 185,855.30 : x
  2. Step 2: Convert to fraction form
    399,087.80/598,631.70 = 185,855.30/x
  3. Step 3: Cross multiply
    399,087.80x = 598,631.70 × 185,855.30
  4. Step 4: Simplify right side
    399,087.80x = 111,258,874,193.01
  5. Step 5: Solve for x
    x = 111,258,874,193.01/399,087.80
  6. Step 6: Final answer
    x = 278,782.95

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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.