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Finding the Fourth Proportional to 287,894.82, 397,295.55 and 160,578.66

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Solution

The fourth proportional to 287,894.82, 397,295.55 and 160,578.66 is: 221,598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.82 : 397,295.55 = 160,578.66 : x
  2. Step 2: Convert to fraction form
    287,894.82/397,295.55 = 160,578.66/x
  3. Step 3: Cross multiply
    287,894.82x = 397,295.55 × 160,578.66
  4. Step 4: Simplify right side
    287,894.82x = 63,797,187,042.96
  5. Step 5: Solve for x
    x = 63,797,187,042.96/287,894.82
  6. Step 6: Final answer
    x = 221,598.94

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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.