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Finding the Fourth Proportional to 461,495.97, 636,896.38 and 257,586.57

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Solution

The fourth proportional to 461,495.97, 636,896.38 and 257,586.57 is: 355,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,495.97 : 636,896.38 = 257,586.57 : x
  2. Step 2: Convert to fraction form
    461,495.97/636,896.38 = 257,586.57/x
  3. Step 3: Cross multiply
    461,495.97x = 636,896.38 × 257,586.57
  4. Step 4: Simplify right side
    461,495.97x = 164,055,953,969.62
  5. Step 5: Solve for x
    x = 164,055,953,969.62/461,495.97
  6. Step 6: Final answer
    x = 355,487.29

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1.5x scale

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.