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Finding the Fourth Proportional to 319,240.76, 478,537.92 and 206,992.04

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Solution

The fourth proportional to 319,240.76, 478,537.92 and 206,992.04 is: 310,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,240.76 : 478,537.92 = 206,992.04 : x
  2. Step 2: Convert to fraction form
    319,240.76/478,537.92 = 206,992.04/x
  3. Step 3: Cross multiply
    319,240.76x = 478,537.92 × 206,992.04
  4. Step 4: Simplify right side
    319,240.76x = 99,053,540,278.16
  5. Step 5: Solve for x
    x = 99,053,540,278.16/319,240.76
  6. Step 6: Final answer
    x = 310,278.49

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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.