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Finding the Fourth Proportional to 289,052.80, 433,287.60 and 131,394.40

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Solution

The fourth proportional to 289,052.80, 433,287.60 and 131,394.40 is: 196,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,052.80 : 433,287.60 = 131,394.40 : x
  2. Step 2: Convert to fraction form
    289,052.80/433,287.60 = 131,394.40/x
  3. Step 3: Cross multiply
    289,052.80x = 433,287.60 × 131,394.40
  4. Step 4: Simplify right side
    289,052.80x = 56,931,564,229.44
  5. Step 5: Solve for x
    x = 56,931,564,229.44/289,052.80
  6. Step 6: Final answer
    x = 196,959.05

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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.