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Finding the Fourth Proportional to 320,602.86, 442,439.73 and 177,365.70

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Solution

The fourth proportional to 320,602.86, 442,439.73 and 177,365.70 is: 244,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,602.86 : 442,439.73 = 177,365.70 : x
  2. Step 2: Convert to fraction form
    320,602.86/442,439.73 = 177,365.70/x
  3. Step 3: Cross multiply
    320,602.86x = 442,439.73 × 177,365.70
  4. Step 4: Simplify right side
    320,602.86x = 78,473,632,419.26
  5. Step 5: Solve for x
    x = 78,473,632,419.26/320,602.86
  6. Step 6: Final answer
    x = 244,768.97

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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.