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Finding the Fourth Proportional to 408,319.79, 612,604.01 and 208,780.34

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Solution

The fourth proportional to 408,319.79, 612,604.01 and 208,780.34 is: 313,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,319.79 : 612,604.01 = 208,780.34 : x
  2. Step 2: Convert to fraction form
    408,319.79/612,604.01 = 208,780.34/x
  3. Step 3: Cross multiply
    408,319.79x = 612,604.01 × 208,780.34
  4. Step 4: Simplify right side
    408,319.79x = 127,899,670,952.09
  5. Step 5: Solve for x
    x = 127,899,670,952.09/408,319.79
  6. Step 6: Final answer
    x = 313,234.08

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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.