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Finding the Fourth Proportional to 283,255.38, 390,958.92 and 162,394.47

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Solution

The fourth proportional to 283,255.38, 390,958.92 and 162,394.47 is: 224,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,255.38 : 390,958.92 = 162,394.47 : x
  2. Step 2: Convert to fraction form
    283,255.38/390,958.92 = 162,394.47/x
  3. Step 3: Cross multiply
    283,255.38x = 390,958.92 × 162,394.47
  4. Step 4: Simplify right side
    283,255.38x = 63,489,566,605.17
  5. Step 5: Solve for x
    x = 63,489,566,605.17/283,255.38
  6. Step 6: Final answer
    x = 224,142.49

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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.