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Finding the Fourth Proportional to 289,040.80, 433,561.20 and 275,262.70

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Solution

The fourth proportional to 289,040.80, 433,561.20 and 275,262.70 is: 412,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,040.80 : 433,561.20 = 275,262.70 : x
  2. Step 2: Convert to fraction form
    289,040.80/433,561.20 = 275,262.70/x
  3. Step 3: Cross multiply
    289,040.80x = 433,561.20 × 275,262.70
  4. Step 4: Simplify right side
    289,040.80x = 119,343,226,527.24
  5. Step 5: Solve for x
    x = 119,343,226,527.24/289,040.80
  6. Step 6: Final answer
    x = 412,894.05

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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.