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Finding the Fourth Proportional to 280,363.12, 420,600 and 102,871.60

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Solution

The fourth proportional to 280,363.12, 420,600 and 102,871.60 is: 154,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,363.12 : 420,600 = 102,871.60 : x
  2. Step 2: Convert to fraction form
    280,363.12/420,600 = 102,871.60/x
  3. Step 3: Cross multiply
    280,363.12x = 420,600 × 102,871.60
  4. Step 4: Simplify right side
    280,363.12x = 43,267,794,960
  5. Step 5: Solve for x
    x = 43,267,794,960/280,363.12
  6. Step 6: Final answer
    x = 154,327.70

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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.