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Finding the Fourth Proportional to 461,239.56, 636,486.30 and 257,311.80

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Solution

The fourth proportional to 461,239.56, 636,486.30 and 257,311.80 is: 355,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,239.56 : 636,486.30 = 257,311.80 : x
  2. Step 2: Convert to fraction form
    461,239.56/636,486.30 = 257,311.80/x
  3. Step 3: Cross multiply
    461,239.56x = 636,486.30 × 257,311.80
  4. Step 4: Simplify right side
    461,239.56x = 163,775,435,528.34
  5. Step 5: Solve for x
    x = 163,775,435,528.34/461,239.56
  6. Step 6: Final answer
    x = 355,076.73

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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.