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Finding the Fourth Proportional to 280,344.33, 420,580.90 and 80,666.37

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Solution

The fourth proportional to 280,344.33, 420,580.90 and 80,666.37 is: 121,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,344.33 : 420,580.90 = 80,666.37 : x
  2. Step 2: Convert to fraction form
    280,344.33/420,580.90 = 80,666.37/x
  3. Step 3: Cross multiply
    280,344.33x = 420,580.90 × 80,666.37
  4. Step 4: Simplify right side
    280,344.33x = 33,926,734,292.67
  5. Step 5: Solve for x
    x = 33,926,734,292.67/280,344.33
  6. Step 6: Final answer
    x = 121,018.09

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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.