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Finding the Fourth Proportional to 396,038.40, 593,911.80 and 129,807.60

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Solution

The fourth proportional to 396,038.40, 593,911.80 and 129,807.60 is: 194,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,038.40 : 593,911.80 = 129,807.60 : x
  2. Step 2: Convert to fraction form
    396,038.40/593,911.80 = 129,807.60/x
  3. Step 3: Cross multiply
    396,038.40x = 593,911.80 × 129,807.60
  4. Step 4: Simplify right side
    396,038.40x = 77,094,265,369.68
  5. Step 5: Solve for x
    x = 77,094,265,369.68/396,038.40
  6. Step 6: Final answer
    x = 194,663.61

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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.