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Finding the Fourth Proportional to 415,714.80, 623,687.40 and 275,746.80

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Solution

The fourth proportional to 415,714.80, 623,687.40 and 275,746.80 is: 413,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,714.80 : 623,687.40 = 275,746.80 : x
  2. Step 2: Convert to fraction form
    415,714.80/623,687.40 = 275,746.80/x
  3. Step 3: Cross multiply
    415,714.80x = 623,687.40 × 275,746.80
  4. Step 4: Simplify right side
    415,714.80x = 171,979,804,750.32
  5. Step 5: Solve for x
    x = 171,979,804,750.32/415,714.80
  6. Step 6: Final answer
    x = 413,696.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.