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Finding the Fourth Proportional to 517,650.62, 776,662.75 and 180,740.90

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Solution

The fourth proportional to 517,650.62, 776,662.75 and 180,740.90 is: 271,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,650.62 : 776,662.75 = 180,740.90 : x
  2. Step 2: Convert to fraction form
    517,650.62/776,662.75 = 180,740.90/x
  3. Step 3: Cross multiply
    517,650.62x = 776,662.75 × 180,740.90
  4. Step 4: Simplify right side
    517,650.62x = 140,374,720,096.31
  5. Step 5: Solve for x
    x = 140,374,720,096.31/517,650.62
  6. Step 6: Final answer
    x = 271,176.57

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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.