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Finding the Fourth Proportional to 289,277.80, 433,625.10 and 131,619.40

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Solution

The fourth proportional to 289,277.80, 433,625.10 and 131,619.40 is: 197,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,277.80 : 433,625.10 = 131,619.40 : x
  2. Step 2: Convert to fraction form
    289,277.80/433,625.10 = 131,619.40/x
  3. Step 3: Cross multiply
    289,277.80x = 433,625.10 × 131,619.40
  4. Step 4: Simplify right side
    289,277.80x = 57,073,475,486.94
  5. Step 5: Solve for x
    x = 57,073,475,486.94/289,277.80
  6. Step 6: Final answer
    x = 197,296.42

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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.