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Finding the Fourth Proportional to 461,037, 636,242.31 and 257,085.93

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Solution

The fourth proportional to 461,037, 636,242.31 and 257,085.93 is: 354,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,037 : 636,242.31 = 257,085.93 : x
  2. Step 2: Convert to fraction form
    461,037/636,242.31 = 257,085.93/x
  3. Step 3: Cross multiply
    461,037x = 636,242.31 × 257,085.93
  4. Step 4: Simplify right side
    461,037x = 163,568,945,971.70
  5. Step 5: Solve for x
    x = 163,568,945,971.70/461,037
  6. Step 6: Final answer
    x = 354,784.86

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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.