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Finding the Fourth Proportional to 684,861.87, 945,489.47 and 412,998.64

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Solution

The fourth proportional to 684,861.87, 945,489.47 and 412,998.64 is: 570,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,861.87 : 945,489.47 = 412,998.64 : x
  2. Step 2: Convert to fraction form
    684,861.87/945,489.47 = 412,998.64/x
  3. Step 3: Cross multiply
    684,861.87x = 945,489.47 × 412,998.64
  4. Step 4: Simplify right side
    684,861.87x = 390,485,865,244.32
  5. Step 5: Solve for x
    x = 390,485,865,244.32/684,861.87
  6. Step 6: Final answer
    x = 570,167.33

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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.