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Finding the Fourth Proportional to 287,894.25, 397,294.07 and 160,569.95

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Solution

The fourth proportional to 287,894.25, 397,294.07 and 160,569.95 is: 221,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.25 : 397,294.07 = 160,569.95 : x
  2. Step 2: Convert to fraction form
    287,894.25/397,294.07 = 160,569.95/x
  3. Step 3: Cross multiply
    287,894.25x = 397,294.07 × 160,569.95
  4. Step 4: Simplify right side
    287,894.25x = 63,793,486,165.88
  5. Step 5: Solve for x
    x = 63,793,486,165.88/287,894.25
  6. Step 6: Final answer
    x = 221,586.52

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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.