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Finding the Fourth Proportional to 461,640.55, 637,065.67 and 257,687.82

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Solution

The fourth proportional to 461,640.55, 637,065.67 and 257,687.82 is: 355,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,640.55 : 637,065.67 = 257,687.82 : x
  2. Step 2: Convert to fraction form
    461,640.55/637,065.67 = 257,687.82/x
  3. Step 3: Cross multiply
    461,640.55x = 637,065.67 × 257,687.82
  4. Step 4: Simplify right side
    461,640.55x = 164,164,063,699.14
  5. Step 5: Solve for x
    x = 164,164,063,699.14/461,640.55
  6. Step 6: Final answer
    x = 355,610.15

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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.