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Finding the Fourth Proportional to 461,872.89, 637,348.23 and 257,907.87

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Solution

The fourth proportional to 461,872.89, 637,348.23 and 257,907.87 is: 355,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,872.89 : 637,348.23 = 257,907.87 : x
  2. Step 2: Convert to fraction form
    461,872.89/637,348.23 = 257,907.87/x
  3. Step 3: Cross multiply
    461,872.89x = 637,348.23 × 257,907.87
  4. Step 4: Simplify right side
    461,872.89x = 164,377,124,447.57
  5. Step 5: Solve for x
    x = 164,377,124,447.57/461,872.89
  6. Step 6: Final answer
    x = 355,892.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.