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Finding the Fourth Proportional to 288,924.60, 433,257.30 and 131,071.80

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Solution

The fourth proportional to 288,924.60, 433,257.30 and 131,071.80 is: 196,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,924.60 : 433,257.30 = 131,071.80 : x
  2. Step 2: Convert to fraction form
    288,924.60/433,257.30 = 131,071.80/x
  3. Step 3: Cross multiply
    288,924.60x = 433,257.30 × 131,071.80
  4. Step 4: Simplify right side
    288,924.60x = 56,787,814,174.14
  5. Step 5: Solve for x
    x = 56,787,814,174.14/288,924.60
  6. Step 6: Final answer
    x = 196,548.91

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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.