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Finding the Fourth Proportional to 489,560.76, 734,185.62 and 157,059

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Solution

The fourth proportional to 489,560.76, 734,185.62 and 157,059 is: 235,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,560.76 : 734,185.62 = 157,059 : x
  2. Step 2: Convert to fraction form
    489,560.76/734,185.62 = 157,059/x
  3. Step 3: Cross multiply
    489,560.76x = 734,185.62 × 157,059
  4. Step 4: Simplify right side
    489,560.76x = 115,310,459,291.58
  5. Step 5: Solve for x
    x = 115,310,459,291.58/489,560.76
  6. Step 6: Final answer
    x = 235,538.61

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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.