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Finding the Fourth Proportional to 517,653.62, 776,667.26 and 180,743.90

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Solution

The fourth proportional to 517,653.62, 776,667.26 and 180,743.90 is: 271,181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,653.62 : 776,667.26 = 180,743.90 : x
  2. Step 2: Convert to fraction form
    517,653.62/776,667.26 = 180,743.90/x
  3. Step 3: Cross multiply
    517,653.62x = 776,667.26 × 180,743.90
  4. Step 4: Simplify right side
    517,653.62x = 140,377,864,787.66
  5. Step 5: Solve for x
    x = 140,377,864,787.66/517,653.62
  6. Step 6: Final answer
    x = 271,181.08

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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.