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Finding the Fourth Proportional to 280,986.60, 420,605.10 and 272,238.60

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Solution

The fourth proportional to 280,986.60, 420,605.10 and 272,238.60 is: 407,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,986.60 : 420,605.10 = 272,238.60 : x
  2. Step 2: Convert to fraction form
    280,986.60/420,605.10 = 272,238.60/x
  3. Step 3: Cross multiply
    280,986.60x = 420,605.10 × 272,238.60
  4. Step 4: Simplify right side
    280,986.60x = 114,504,943,576.86
  5. Step 5: Solve for x
    x = 114,504,943,576.86/280,986.60
  6. Step 6: Final answer
    x = 407,510.34

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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.