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Finding the Fourth Proportional to 280,241.84, 420,433.17 and 80,562.59

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Solution

The fourth proportional to 280,241.84, 420,433.17 and 80,562.59 is: 120,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,241.84 : 420,433.17 = 80,562.59 : x
  2. Step 2: Convert to fraction form
    280,241.84/420,433.17 = 80,562.59/x
  3. Step 3: Cross multiply
    280,241.84x = 420,433.17 × 80,562.59
  4. Step 4: Simplify right side
    280,241.84x = 33,871,186,148.19
  5. Step 5: Solve for x
    x = 33,871,186,148.19/280,241.84
  6. Step 6: Final answer
    x = 120,864.13

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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.