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Finding the Fourth Proportional to 391,879.63, 589,148.19 and 312,926.20

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Solution

The fourth proportional to 391,879.63, 589,148.19 and 312,926.20 is: 470,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,879.63 : 589,148.19 = 312,926.20 : x
  2. Step 2: Convert to fraction form
    391,879.63/589,148.19 = 312,926.20/x
  3. Step 3: Cross multiply
    391,879.63x = 589,148.19 × 312,926.20
  4. Step 4: Simplify right side
    391,879.63x = 184,359,904,333.58
  5. Step 5: Solve for x
    x = 184,359,904,333.58/391,879.63
  6. Step 6: Final answer
    x = 470,450.34

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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.