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Finding the Fourth Proportional to 205,230.40, 307,845.60 and 111,918.40

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Solution

The fourth proportional to 205,230.40, 307,845.60 and 111,918.40 is: 167,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,230.40 : 307,845.60 = 111,918.40 : x
  2. Step 2: Convert to fraction form
    205,230.40/307,845.60 = 111,918.40/x
  3. Step 3: Cross multiply
    205,230.40x = 307,845.60 × 111,918.40
  4. Step 4: Simplify right side
    205,230.40x = 34,453,586,999.04
  5. Step 5: Solve for x
    x = 34,453,586,999.04/205,230.40
  6. Step 6: Final answer
    x = 167,877.60

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1.5x scale

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.