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Finding the Fourth Proportional to 589,910.76, 813,766.50 and 398,988.36

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Solution

The fourth proportional to 589,910.76, 813,766.50 and 398,988.36 is: 550,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,910.76 : 813,766.50 = 398,988.36 : x
  2. Step 2: Convert to fraction form
    589,910.76/813,766.50 = 398,988.36/x
  3. Step 3: Cross multiply
    589,910.76x = 813,766.50 × 398,988.36
  4. Step 4: Simplify right side
    589,910.76x = 324,683,361,257.94
  5. Step 5: Solve for x
    x = 324,683,361,257.94/589,910.76
  6. Step 6: Final answer
    x = 550,394.03

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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.