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Finding the Fourth Proportional to 420,018.91, 630,231.09 and 206,671.12

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Solution

The fourth proportional to 420,018.91, 630,231.09 and 206,671.12 is: 310,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,018.91 : 630,231.09 = 206,671.12 : x
  2. Step 2: Convert to fraction form
    420,018.91/630,231.09 = 206,671.12/x
  3. Step 3: Cross multiply
    420,018.91x = 630,231.09 × 206,671.12
  4. Step 4: Simplify right side
    420,018.91x = 130,250,565,229.12
  5. Step 5: Solve for x
    x = 130,250,565,229.12/420,018.91
  6. Step 6: Final answer
    x = 310,106.43

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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.