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Finding the Fourth Proportional to 489,793.50, 734,973.70 and 205,458.59

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Solution

The fourth proportional to 489,793.50, 734,973.70 and 205,458.59 is: 308,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,793.50 : 734,973.70 = 205,458.59 : x
  2. Step 2: Convert to fraction form
    489,793.50/734,973.70 = 205,458.59/x
  3. Step 3: Cross multiply
    489,793.50x = 734,973.70 × 205,458.59
  4. Step 4: Simplify right side
    489,793.50x = 151,006,655,900.57
  5. Step 5: Solve for x
    x = 151,006,655,900.57/489,793.50
  6. Step 6: Final answer
    x = 308,306.78

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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.