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Finding the Fourth Proportional to 396,877.86, 595,390.64 and 130,657.10

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Solution

The fourth proportional to 396,877.86, 595,390.64 and 130,657.10 is: 196,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,877.86 : 595,390.64 = 130,657.10 : x
  2. Step 2: Convert to fraction form
    396,877.86/595,390.64 = 130,657.10/x
  3. Step 3: Cross multiply
    396,877.86x = 595,390.64 × 130,657.10
  4. Step 4: Simplify right side
    396,877.86x = 77,792,010,759.31
  5. Step 5: Solve for x
    x = 77,792,010,759.31/396,877.86
  6. Step 6: Final answer
    x = 196,009.95

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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.