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Finding the Fourth Proportional to 275,861.35, 413,582.20 and 142,656.64

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Solution

The fourth proportional to 275,861.35, 413,582.20 and 142,656.64 is: 213,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,861.35 : 413,582.20 = 142,656.64 : x
  2. Step 2: Convert to fraction form
    275,861.35/413,582.20 = 142,656.64/x
  3. Step 3: Cross multiply
    275,861.35x = 413,582.20 × 142,656.64
  4. Step 4: Simplify right side
    275,861.35x = 59,000,248,754.05
  5. Step 5: Solve for x
    x = 59,000,248,754.05/275,861.35
  6. Step 6: Final answer
    x = 213,876.46

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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.