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Finding the Fourth Proportional to 408,997.54, 612,582.72 and 296,419.32

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Solution

The fourth proportional to 408,997.54, 612,582.72 and 296,419.32 is: 443,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,997.54 : 612,582.72 = 296,419.32 : x
  2. Step 2: Convert to fraction form
    408,997.54/612,582.72 = 296,419.32/x
  3. Step 3: Cross multiply
    408,997.54x = 612,582.72 × 296,419.32
  4. Step 4: Simplify right side
    408,997.54x = 181,581,356,418.51
  5. Step 5: Solve for x
    x = 181,581,356,418.51/408,997.54
  6. Step 6: Final answer
    x = 443,966.86

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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.