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Finding the Fourth Proportional to 289,051.80, 433,286.10 and 131,393.40

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Solution

The fourth proportional to 289,051.80, 433,286.10 and 131,393.40 is: 196,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,051.80 : 433,286.10 = 131,393.40 : x
  2. Step 2: Convert to fraction form
    289,051.80/433,286.10 = 131,393.40/x
  3. Step 3: Cross multiply
    289,051.80x = 433,286.10 × 131,393.40
  4. Step 4: Simplify right side
    289,051.80x = 56,930,933,851.74
  5. Step 5: Solve for x
    x = 56,930,933,851.74/289,051.80
  6. Step 6: Final answer
    x = 196,957.55

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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.