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Finding the Fourth Proportional to 287,571.92, 396,802.56 and 166,689.59

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Solution

The fourth proportional to 287,571.92, 396,802.56 and 166,689.59 is: 230,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,571.92 : 396,802.56 = 166,689.59 : x
  2. Step 2: Convert to fraction form
    287,571.92/396,802.56 = 166,689.59/x
  3. Step 3: Cross multiply
    287,571.92x = 396,802.56 × 166,689.59
  4. Step 4: Simplify right side
    287,571.92x = 66,142,854,678.42
  5. Step 5: Solve for x
    x = 66,142,854,678.42/287,571.92
  6. Step 6: Final answer
    x = 230,004.57

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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.