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Finding the Fourth Proportional to 288,182.76, 397,679.40 and 160,855.44

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Solution

The fourth proportional to 288,182.76, 397,679.40 and 160,855.44 is: 221,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,182.76 : 397,679.40 = 160,855.44 : x
  2. Step 2: Convert to fraction form
    288,182.76/397,679.40 = 160,855.44/x
  3. Step 3: Cross multiply
    288,182.76x = 397,679.40 × 160,855.44
  4. Step 4: Simplify right side
    288,182.76x = 63,968,894,865.94
  5. Step 5: Solve for x
    x = 63,968,894,865.94/288,182.76
  6. Step 6: Final answer
    x = 221,973.36

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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.