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Finding the Fourth Proportional to 456,321.61, 629,725.26 and 255,117.61

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Solution

The fourth proportional to 456,321.61, 629,725.26 and 255,117.61 is: 352,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,321.61 : 629,725.26 = 255,117.61 : x
  2. Step 2: Convert to fraction form
    456,321.61/629,725.26 = 255,117.61/x
  3. Step 3: Cross multiply
    456,321.61x = 629,725.26 × 255,117.61
  4. Step 4: Simplify right side
    456,321.61x = 160,654,003,287.83
  5. Step 5: Solve for x
    x = 160,654,003,287.83/456,321.61
  6. Step 6: Final answer
    x = 352,063.11

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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.