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Finding the Fourth Proportional to 393,025.50, 589,662.86 and 140,300.57

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Solution

The fourth proportional to 393,025.50, 589,662.86 and 140,300.57 is: 210,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,025.50 : 589,662.86 = 140,300.57 : x
  2. Step 2: Convert to fraction form
    393,025.50/589,662.86 = 140,300.57/x
  3. Step 3: Cross multiply
    393,025.50x = 589,662.86 × 140,300.57
  4. Step 4: Simplify right side
    393,025.50x = 82,730,035,365.83
  5. Step 5: Solve for x
    x = 82,730,035,365.83/393,025.50
  6. Step 6: Final answer
    x = 210,495.34

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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.