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Finding the Fourth Proportional to 489,684.98, 734,458.35 and 157,217.78

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Solution

The fourth proportional to 489,684.98, 734,458.35 and 157,217.78 is: 235,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,684.98 : 734,458.35 = 157,217.78 : x
  2. Step 2: Convert to fraction form
    489,684.98/734,458.35 = 157,217.78/x
  3. Step 3: Cross multiply
    489,684.98x = 734,458.35 × 157,217.78
  4. Step 4: Simplify right side
    489,684.98x = 115,469,911,289.46
  5. Step 5: Solve for x
    x = 115,469,911,289.46/489,684.98
  6. Step 6: Final answer
    x = 235,804.48

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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.