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Finding the Fourth Proportional to 288,912.80, 433,291.44 and 101,900

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Solution

The fourth proportional to 288,912.80, 433,291.44 and 101,900 is: 152,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,912.80 : 433,291.44 = 101,900 : x
  2. Step 2: Convert to fraction form
    288,912.80/433,291.44 = 101,900/x
  3. Step 3: Cross multiply
    288,912.80x = 433,291.44 × 101,900
  4. Step 4: Simplify right side
    288,912.80x = 44,152,397,736
  5. Step 5: Solve for x
    x = 44,152,397,736/288,912.80
  6. Step 6: Final answer
    x = 152,822.57

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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.