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Finding the Fourth Proportional to 321,447.46, 480,752.06 and 194,737.54

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Solution

The fourth proportional to 321,447.46, 480,752.06 and 194,737.54 is: 291,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,447.46 : 480,752.06 = 194,737.54 : x
  2. Step 2: Convert to fraction form
    321,447.46/480,752.06 = 194,737.54/x
  3. Step 3: Cross multiply
    321,447.46x = 480,752.06 × 194,737.54
  4. Step 4: Simplify right side
    321,447.46x = 93,620,473,514.33
  5. Step 5: Solve for x
    x = 93,620,473,514.33/321,447.46
  6. Step 6: Final answer
    x = 291,246.58

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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.