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Finding the Fourth Proportional to 408,323.41, 612,609.45 and 208,783.96

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Solution

The fourth proportional to 408,323.41, 612,609.45 and 208,783.96 is: 313,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,323.41 : 612,609.45 = 208,783.96 : x
  2. Step 2: Convert to fraction form
    408,323.41/612,609.45 = 208,783.96/x
  3. Step 3: Cross multiply
    408,323.41x = 612,609.45 × 208,783.96
  4. Step 4: Simplify right side
    408,323.41x = 127,903,026,904.42
  5. Step 5: Solve for x
    x = 127,903,026,904.42/408,323.41
  6. Step 6: Final answer
    x = 313,239.51

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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.