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Finding the Fourth Proportional to 685,010.40, 1,027,496.40 and 311,032.80

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Solution

The fourth proportional to 685,010.40, 1,027,496.40 and 311,032.80 is: 466,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,010.40 : 1,027,496.40 = 311,032.80 : x
  2. Step 2: Convert to fraction form
    685,010.40/1,027,496.40 = 311,032.80/x
  3. Step 3: Cross multiply
    685,010.40x = 1,027,496.40 × 311,032.80
  4. Step 4: Simplify right side
    685,010.40x = 319,585,082,281.92
  5. Step 5: Solve for x
    x = 319,585,082,281.92/685,010.40
  6. Step 6: Final answer
    x = 466,540.48

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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.