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Finding the Fourth Proportional to 508,157.60, 701,300.56 and 281,876

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Solution

The fourth proportional to 508,157.60, 701,300.56 and 281,876 is: 389,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,157.60 : 701,300.56 = 281,876 : x
  2. Step 2: Convert to fraction form
    508,157.60/701,300.56 = 281,876/x
  3. Step 3: Cross multiply
    508,157.60x = 701,300.56 × 281,876
  4. Step 4: Simplify right side
    508,157.60x = 197,679,796,650.56
  5. Step 5: Solve for x
    x = 197,679,796,650.56/508,157.60
  6. Step 6: Final answer
    x = 389,012.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.