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Finding the Fourth Proportional to 287,617.96, 396,914.12 and 166,830.76

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Solution

The fourth proportional to 287,617.96, 396,914.12 and 166,830.76 is: 230,227.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,617.96 : 396,914.12 = 166,830.76 : x
  2. Step 2: Convert to fraction form
    287,617.96/396,914.12 = 166,830.76/x
  3. Step 3: Cross multiply
    287,617.96x = 396,914.12 × 166,830.76
  4. Step 4: Simplify right side
    287,617.96x = 66,217,484,294.33
  5. Step 5: Solve for x
    x = 66,217,484,294.33/287,617.96
  6. Step 6: Final answer
    x = 230,227.22

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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.