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Finding the Fourth Proportional to 320,792.69, 442,688.56 and 177,549.66

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Solution

The fourth proportional to 320,792.69, 442,688.56 and 177,549.66 is: 245,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,792.69 : 442,688.56 = 177,549.66 : x
  2. Step 2: Convert to fraction form
    320,792.69/442,688.56 = 177,549.66/x
  3. Step 3: Cross multiply
    320,792.69x = 442,688.56 × 177,549.66
  4. Step 4: Simplify right side
    320,792.69x = 78,599,202,870.02
  5. Step 5: Solve for x
    x = 78,599,202,870.02/320,792.69
  6. Step 6: Final answer
    x = 245,015.57

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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.