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Finding the Fourth Proportional to 209,266, 313,899 and 53,618

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Solution

The fourth proportional to 209,266, 313,899 and 53,618 is: 80,427

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,266 : 313,899 = 53,618 : x
  2. Step 2: Convert to fraction form
    209,266/313,899 = 53,618/x
  3. Step 3: Cross multiply
    209,266x = 313,899 × 53,618
  4. Step 4: Simplify right side
    209,266x = 16,830,636,582
  5. Step 5: Solve for x
    x = 16,830,636,582/209,266
  6. Step 6: Final answer
    x = 80,427

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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.