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Finding the Fourth Proportional to 289,108.58, 398,974.58 and 158,284.05

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Solution

The fourth proportional to 289,108.58, 398,974.58 and 158,284.05 is: 218,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,108.58 : 398,974.58 = 158,284.05 : x
  2. Step 2: Convert to fraction form
    289,108.58/398,974.58 = 158,284.05/x
  3. Step 3: Cross multiply
    289,108.58x = 398,974.58 × 158,284.05
  4. Step 4: Simplify right side
    289,108.58x = 63,151,311,578.03
  5. Step 5: Solve for x
    x = 63,151,311,578.03/289,108.58
  6. Step 6: Final answer
    x = 218,434.58

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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.