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Finding the Fourth Proportional to 287,396.33, 396,613.94 and 160,074.05

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Solution

The fourth proportional to 287,396.33, 396,613.94 and 160,074.05 is: 220,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,396.33 : 396,613.94 = 160,074.05 : x
  2. Step 2: Convert to fraction form
    287,396.33/396,613.94 = 160,074.05/x
  3. Step 3: Cross multiply
    287,396.33x = 396,613.94 × 160,074.05
  4. Step 4: Simplify right side
    287,396.33x = 63,487,596,878.82
  5. Step 5: Solve for x
    x = 63,487,596,878.82/287,396.33
  6. Step 6: Final answer
    x = 220,906.08

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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.