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Finding the Fourth Proportional to 720,120, 993,753.84 and 397,843.68

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Solution

The fourth proportional to 720,120, 993,753.84 and 397,843.68 is: 549,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,120 : 993,753.84 = 397,843.68 : x
  2. Step 2: Convert to fraction form
    720,120/993,753.84 = 397,843.68/x
  3. Step 3: Cross multiply
    720,120x = 993,753.84 × 397,843.68
  4. Step 4: Simplify right side
    720,120x = 395,358,684,719.73
  5. Step 5: Solve for x
    x = 395,358,684,719.73/720,120
  6. Step 6: Final answer
    x = 549,017.78

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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.