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Finding the Fourth Proportional to 288,121.98, 397,648.44 and 160,805.76

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Solution

The fourth proportional to 288,121.98, 397,648.44 and 160,805.76 is: 221,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,121.98 : 397,648.44 = 160,805.76 : x
  2. Step 2: Convert to fraction form
    288,121.98/397,648.44 = 160,805.76/x
  3. Step 3: Cross multiply
    288,121.98x = 397,648.44 × 160,805.76
  4. Step 4: Simplify right side
    288,121.98x = 63,944,159,607.01
  5. Step 5: Solve for x
    x = 63,944,159,607.01/288,121.98
  6. Step 6: Final answer
    x = 221,934.33

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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.