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Finding the Fourth Proportional to 280,539.10, 420,808.65 and 168,564.70

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Solution

The fourth proportional to 280,539.10, 420,808.65 and 168,564.70 is: 252,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,539.10 : 420,808.65 = 168,564.70 : x
  2. Step 2: Convert to fraction form
    280,539.10/420,808.65 = 168,564.70/x
  3. Step 3: Cross multiply
    280,539.10x = 420,808.65 × 168,564.70
  4. Step 4: Simplify right side
    280,539.10x = 70,933,483,844.66
  5. Step 5: Solve for x
    x = 70,933,483,844.66/280,539.10
  6. Step 6: Final answer
    x = 252,847.05

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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.