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Finding the Fourth Proportional to 461,953.88, 637,433.37 and 257,978.73

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Solution

The fourth proportional to 461,953.88, 637,433.37 and 257,978.73 is: 355,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,953.88 : 637,433.37 = 257,978.73 : x
  2. Step 2: Convert to fraction form
    461,953.88/637,433.37 = 257,978.73/x
  3. Step 3: Cross multiply
    461,953.88x = 637,433.37 × 257,978.73
  4. Step 4: Simplify right side
    461,953.88x = 164,444,251,252.22
  5. Step 5: Solve for x
    x = 164,444,251,252.22/461,953.88
  6. Step 6: Final answer
    x = 355,975.48

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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.