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Finding the Fourth Proportional to 517,090.62, 775,639.39 and 180,137.64

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Solution

The fourth proportional to 517,090.62, 775,639.39 and 180,137.64 is: 270,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,090.62 : 775,639.39 = 180,137.64 : x
  2. Step 2: Convert to fraction form
    517,090.62/775,639.39 = 180,137.64/x
  3. Step 3: Cross multiply
    517,090.62x = 775,639.39 × 180,137.64
  4. Step 4: Simplify right side
    517,090.62x = 139,721,849,205.64
  5. Step 5: Solve for x
    x = 139,721,849,205.64/517,090.62
  6. Step 6: Final answer
    x = 270,207.67

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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.