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Finding the Fourth Proportional to 287,675.04, 397,005 and 160,351.56

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Solution

The fourth proportional to 287,675.04, 397,005 and 160,351.56 is: 221,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,675.04 : 397,005 = 160,351.56 : x
  2. Step 2: Convert to fraction form
    287,675.04/397,005 = 160,351.56/x
  3. Step 3: Cross multiply
    287,675.04x = 397,005 × 160,351.56
  4. Step 4: Simplify right side
    287,675.04x = 63,660,371,077.80
  5. Step 5: Solve for x
    x = 63,660,371,077.80/287,675.04
  6. Step 6: Final answer
    x = 221,292.65

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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.