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Finding the Fourth Proportional to 320,422.56, 480,628.56 and 95,783.52

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Solution

The fourth proportional to 320,422.56, 480,628.56 and 95,783.52 is: 143,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,422.56 : 480,628.56 = 95,783.52 : x
  2. Step 2: Convert to fraction form
    320,422.56/480,628.56 = 95,783.52/x
  3. Step 3: Cross multiply
    320,422.56x = 480,628.56 × 95,783.52
  4. Step 4: Simplify right side
    320,422.56x = 46,036,295,289.33
  5. Step 5: Solve for x
    x = 46,036,295,289.33/320,422.56
  6. Step 6: Final answer
    x = 143,673.70

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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.