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Finding the Fourth Proportional to 380,498.78, 570,753.76 and 180,839.54

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Solution

The fourth proportional to 380,498.78, 570,753.76 and 180,839.54 is: 271,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,498.78 : 570,753.76 = 180,839.54 : x
  2. Step 2: Convert to fraction form
    380,498.78/570,753.76 = 180,839.54/x
  3. Step 3: Cross multiply
    380,498.78x = 570,753.76 × 180,839.54
  4. Step 4: Simplify right side
    380,498.78x = 103,214,847,411.67
  5. Step 5: Solve for x
    x = 103,214,847,411.67/380,498.78
  6. Step 6: Final answer
    x = 271,261.97

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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.