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Finding the Fourth Proportional to 275,679.63, 413,209.50 and 140,363.88

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Solution

The fourth proportional to 275,679.63, 413,209.50 and 140,363.88 is: 210,388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,679.63 : 413,209.50 = 140,363.88 : x
  2. Step 2: Convert to fraction form
    275,679.63/413,209.50 = 140,363.88/x
  3. Step 3: Cross multiply
    275,679.63x = 413,209.50 × 140,363.88
  4. Step 4: Simplify right side
    275,679.63x = 57,999,688,672.86
  5. Step 5: Solve for x
    x = 57,999,688,672.86/275,679.63
  6. Step 6: Final answer
    x = 210,388.01

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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.