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Finding the Fourth Proportional to 407,270.40, 610,905.60 and 111,782.40

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Solution

The fourth proportional to 407,270.40, 610,905.60 and 111,782.40 is: 167,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,270.40 : 610,905.60 = 111,782.40 : x
  2. Step 2: Convert to fraction form
    407,270.40/610,905.60 = 111,782.40/x
  3. Step 3: Cross multiply
    407,270.40x = 610,905.60 × 111,782.40
  4. Step 4: Simplify right side
    407,270.40x = 68,288,494,141.44
  5. Step 5: Solve for x
    x = 68,288,494,141.44/407,270.40
  6. Step 6: Final answer
    x = 167,673.60

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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.