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Finding the Fourth Proportional to 290,310.70, 435,493.44 and 112,831.30

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Solution

The fourth proportional to 290,310.70, 435,493.44 and 112,831.30 is: 169,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,310.70 : 435,493.44 = 112,831.30 : x
  2. Step 2: Convert to fraction form
    290,310.70/435,493.44 = 112,831.30/x
  3. Step 3: Cross multiply
    290,310.70x = 435,493.44 × 112,831.30
  4. Step 4: Simplify right side
    290,310.70x = 49,137,290,976.67
  5. Step 5: Solve for x
    x = 49,137,290,976.67/290,310.70
  6. Step 6: Final answer
    x = 169,257.60

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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.