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Finding the Fourth Proportional to 746,876, 1,030,688.88 and 407,346.68

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Solution

The fourth proportional to 746,876, 1,030,688.88 and 407,346.68 is: 562,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,876 : 1,030,688.88 = 407,346.68 : x
  2. Step 2: Convert to fraction form
    746,876/1,030,688.88 = 407,346.68/x
  3. Step 3: Cross multiply
    746,876x = 1,030,688.88 × 407,346.68
  4. Step 4: Simplify right side
    746,876x = 419,847,693,380.92
  5. Step 5: Solve for x
    x = 419,847,693,380.92/746,876
  6. Step 6: Final answer
    x = 562,138.42

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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.