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Finding the Fourth Proportional to 288,661.46, 430,878.38 and 254,573.78

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Solution

The fourth proportional to 288,661.46, 430,878.38 and 254,573.78 is: 379,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,661.46 : 430,878.38 = 254,573.78 : x
  2. Step 2: Convert to fraction form
    288,661.46/430,878.38 = 254,573.78/x
  3. Step 3: Cross multiply
    288,661.46x = 430,878.38 × 254,573.78
  4. Step 4: Simplify right side
    288,661.46x = 109,690,337,916.88
  5. Step 5: Solve for x
    x = 109,690,337,916.88/288,661.46
  6. Step 6: Final answer
    x = 379,996.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.