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Finding the Fourth Proportional to 392,615.82, 589,041.96 and 139,863.32

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Solution

The fourth proportional to 392,615.82, 589,041.96 and 139,863.32 is: 209,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,615.82 : 589,041.96 = 139,863.32 : x
  2. Step 2: Convert to fraction form
    392,615.82/589,041.96 = 139,863.32/x
  3. Step 3: Cross multiply
    392,615.82x = 589,041.96 × 139,863.32
  4. Step 4: Simplify right side
    392,615.82x = 82,385,361,199.70
  5. Step 5: Solve for x
    x = 82,385,361,199.70/392,615.82
  6. Step 6: Final answer
    x = 209,837.09

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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.