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Finding the Fourth Proportional to 415,458.56, 623,271.67 and 131,193.51

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Solution

The fourth proportional to 415,458.56, 623,271.67 and 131,193.51 is: 196,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,458.56 : 623,271.67 = 131,193.51 : x
  2. Step 2: Convert to fraction form
    415,458.56/623,271.67 = 131,193.51/x
  3. Step 3: Cross multiply
    415,458.56x = 623,271.67 × 131,193.51
  4. Step 4: Simplify right side
    415,458.56x = 81,769,198,070.86
  5. Step 5: Solve for x
    x = 81,769,198,070.86/415,458.56
  6. Step 6: Final answer
    x = 196,816.74

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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.