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Finding the Fourth Proportional to 415,580.40, 621,815.40 and 275,612.40

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Solution

The fourth proportional to 415,580.40, 621,815.40 and 275,612.40 is: 412,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,580.40 : 621,815.40 = 275,612.40 : x
  2. Step 2: Convert to fraction form
    415,580.40/621,815.40 = 275,612.40/x
  3. Step 3: Cross multiply
    415,580.40x = 621,815.40 × 275,612.40
  4. Step 4: Simplify right side
    415,580.40x = 171,380,034,750.96
  5. Step 5: Solve for x
    x = 171,380,034,750.96/415,580.40
  6. Step 6: Final answer
    x = 412,387.19

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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.