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Finding the Fourth Proportional to 407,842.75, 562,596.29 and 378,976.87

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Solution

The fourth proportional to 407,842.75, 562,596.29 and 378,976.87 is: 522,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,842.75 : 562,596.29 = 378,976.87 : x
  2. Step 2: Convert to fraction form
    407,842.75/562,596.29 = 378,976.87/x
  3. Step 3: Cross multiply
    407,842.75x = 562,596.29 × 378,976.87
  4. Step 4: Simplify right side
    407,842.75x = 213,210,977,756.44
  5. Step 5: Solve for x
    x = 213,210,977,756.44/407,842.75
  6. Step 6: Final answer
    x = 522,777.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.