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Finding the Fourth Proportional to 320,609.28, 442,434 and 177,365.28

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Solution

The fourth proportional to 320,609.28, 442,434 and 177,365.28 is: 244,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,609.28 : 442,434 = 177,365.28 : x
  2. Step 2: Convert to fraction form
    320,609.28/442,434 = 177,365.28/x
  3. Step 3: Cross multiply
    320,609.28x = 442,434 × 177,365.28
  4. Step 4: Simplify right side
    320,609.28x = 78,472,430,291.52
  5. Step 5: Solve for x
    x = 78,472,430,291.52/320,609.28
  6. Step 6: Final answer
    x = 244,760.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.