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Finding the Fourth Proportional to 309,666.33, 427,238.64 and 180,575.64

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Solution

The fourth proportional to 309,666.33, 427,238.64 and 180,575.64 is: 249,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,666.33 : 427,238.64 = 180,575.64 : x
  2. Step 2: Convert to fraction form
    309,666.33/427,238.64 = 180,575.64/x
  3. Step 3: Cross multiply
    309,666.33x = 427,238.64 × 180,575.64
  4. Step 4: Simplify right side
    309,666.33x = 77,148,890,850.73
  5. Step 5: Solve for x
    x = 77,148,890,850.73/309,666.33
  6. Step 6: Final answer
    x = 249,135.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.