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Finding the Fourth Proportional to 209,449.58, 311,956.04 and 208,428.98

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Solution

The fourth proportional to 209,449.58, 311,956.04 and 208,428.98 is: 310,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,449.58 : 311,956.04 = 208,428.98 : x
  2. Step 2: Convert to fraction form
    209,449.58/311,956.04 = 208,428.98/x
  3. Step 3: Cross multiply
    209,449.58x = 311,956.04 × 208,428.98
  4. Step 4: Simplify right side
    209,449.58x = 65,020,676,620.11
  5. Step 5: Solve for x
    x = 65,020,676,620.11/209,449.58
  6. Step 6: Final answer
    x = 310,435.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.