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Finding the Fourth Proportional to 280,292.37, 420,188.49 and 102,757.92

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Solution

The fourth proportional to 280,292.37, 420,188.49 and 102,757.92 is: 154,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,292.37 : 420,188.49 = 102,757.92 : x
  2. Step 2: Convert to fraction form
    280,292.37/420,188.49 = 102,757.92/x
  3. Step 3: Cross multiply
    280,292.37x = 420,188.49 × 102,757.92
  4. Step 4: Simplify right side
    280,292.37x = 43,177,695,240.34
  5. Step 5: Solve for x
    x = 43,177,695,240.34/280,292.37
  6. Step 6: Final answer
    x = 154,045.20

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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.