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Finding the Fourth Proportional to 289,052.59, 433,568.47 and 75,818.80

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Solution

The fourth proportional to 289,052.59, 433,568.47 and 75,818.80 is: 113,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,052.59 : 433,568.47 = 75,818.80 : x
  2. Step 2: Convert to fraction form
    289,052.59/433,568.47 = 75,818.80/x
  3. Step 3: Cross multiply
    289,052.59x = 433,568.47 × 75,818.80
  4. Step 4: Simplify right side
    289,052.59x = 32,872,641,113.24
  5. Step 5: Solve for x
    x = 32,872,641,113.24/289,052.59
  6. Step 6: Final answer
    x = 113,725.47

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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.