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Finding the Fourth Proportional to 397,426.86, 596,013.84 and 131,137.74

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Solution

The fourth proportional to 397,426.86, 596,013.84 and 131,137.74 is: 196,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,426.86 : 596,013.84 = 131,137.74 : x
  2. Step 2: Convert to fraction form
    397,426.86/596,013.84 = 131,137.74/x
  3. Step 3: Cross multiply
    397,426.86x = 596,013.84 × 131,137.74
  4. Step 4: Simplify right side
    397,426.86x = 78,159,907,986.32
  5. Step 5: Solve for x
    x = 78,159,907,986.32/397,426.86
  6. Step 6: Final answer
    x = 196,664.89

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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.