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Finding the Fourth Proportional to 340,489.78, 510,742.90 and 87,776.44

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Solution

The fourth proportional to 340,489.78, 510,742.90 and 87,776.44 is: 131,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,489.78 : 510,742.90 = 87,776.44 : x
  2. Step 2: Convert to fraction form
    340,489.78/510,742.90 = 87,776.44/x
  3. Step 3: Cross multiply
    340,489.78x = 510,742.90 × 87,776.44
  4. Step 4: Simplify right side
    340,489.78x = 44,831,193,517.28
  5. Step 5: Solve for x
    x = 44,831,193,517.28/340,489.78
  6. Step 6: Final answer
    x = 131,666.78

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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.