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Finding the Fourth Proportional to 209,421.54, 311,763.70 and 208,176

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Solution

The fourth proportional to 209,421.54, 311,763.70 and 208,176 is: 309,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,421.54 : 311,763.70 = 208,176 : x
  2. Step 2: Convert to fraction form
    209,421.54/311,763.70 = 208,176/x
  3. Step 3: Cross multiply
    209,421.54x = 311,763.70 × 208,176
  4. Step 4: Simplify right side
    209,421.54x = 64,901,720,011.20
  5. Step 5: Solve for x
    x = 64,901,720,011.20/209,421.54
  6. Step 6: Final answer
    x = 309,909.48

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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.