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Finding the Fourth Proportional to 289,490.20, 433,976.10 and 189,698.20

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Solution

The fourth proportional to 289,490.20, 433,976.10 and 189,698.20 is: 284,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,490.20 : 433,976.10 = 189,698.20 : x
  2. Step 2: Convert to fraction form
    289,490.20/433,976.10 = 189,698.20/x
  3. Step 3: Cross multiply
    289,490.20x = 433,976.10 × 189,698.20
  4. Step 4: Simplify right side
    289,490.20x = 82,324,485,013.02
  5. Step 5: Solve for x
    x = 82,324,485,013.02/289,490.20
  6. Step 6: Final answer
    x = 284,377.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.