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Finding the Fourth Proportional to 383,200.46, 573,819.26 and 319,863.11

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Solution

The fourth proportional to 383,200.46, 573,819.26 and 319,863.11 is: 478,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,200.46 : 573,819.26 = 319,863.11 : x
  2. Step 2: Convert to fraction form
    383,200.46/573,819.26 = 319,863.11/x
  3. Step 3: Cross multiply
    383,200.46x = 573,819.26 × 319,863.11
  4. Step 4: Simplify right side
    383,200.46x = 183,543,613,081.50
  5. Step 5: Solve for x
    x = 183,543,613,081.50/383,200.46
  6. Step 6: Final answer
    x = 478,975.45

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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.