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Finding the Fourth Proportional to 304,813.10, 420,847.55 and 190,266.20

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Solution

The fourth proportional to 304,813.10, 420,847.55 and 190,266.20 is: 262,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,813.10 : 420,847.55 = 190,266.20 : x
  2. Step 2: Convert to fraction form
    304,813.10/420,847.55 = 190,266.20/x
  3. Step 3: Cross multiply
    304,813.10x = 420,847.55 × 190,266.20
  4. Step 4: Simplify right side
    304,813.10x = 80,073,061,062.24
  5. Step 5: Solve for x
    x = 80,073,061,062.24/304,813.10
  6. Step 6: Final answer
    x = 262,695.61

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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.