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Finding the Fourth Proportional to 289,112.60, 433,863.30 and 131,259.80

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Solution

The fourth proportional to 289,112.60, 433,863.30 and 131,259.80 is: 196,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,112.60 : 433,863.30 = 131,259.80 : x
  2. Step 2: Convert to fraction form
    289,112.60/433,863.30 = 131,259.80/x
  3. Step 3: Cross multiply
    289,112.60x = 433,863.30 × 131,259.80
  4. Step 4: Simplify right side
    289,112.60x = 56,948,809,985.34
  5. Step 5: Solve for x
    x = 56,948,809,985.34/289,112.60
  6. Step 6: Final answer
    x = 196,977.96

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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.