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Finding the Fourth Proportional to 319,457.30, 440,992.78 and 206,335.22

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Solution

The fourth proportional to 319,457.30, 440,992.78 and 206,335.22 is: 284,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,457.30 : 440,992.78 = 206,335.22 : x
  2. Step 2: Convert to fraction form
    319,457.30/440,992.78 = 206,335.22/x
  3. Step 3: Cross multiply
    319,457.30x = 440,992.78 × 206,335.22
  4. Step 4: Simplify right side
    319,457.30x = 90,992,342,279.71
  5. Step 5: Solve for x
    x = 90,992,342,279.71/319,457.30
  6. Step 6: Final answer
    x = 284,834.13

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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.