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Finding the Fourth Proportional to 415,610.40, 621,860.40 and 275,642.40

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Solution

The fourth proportional to 415,610.40, 621,860.40 and 275,642.40 is: 412,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,610.40 : 621,860.40 = 275,642.40 : x
  2. Step 2: Convert to fraction form
    415,610.40/621,860.40 = 275,642.40/x
  3. Step 3: Cross multiply
    415,610.40x = 621,860.40 × 275,642.40
  4. Step 4: Simplify right side
    415,610.40x = 171,411,093,120.96
  5. Step 5: Solve for x
    x = 171,411,093,120.96/415,610.40
  6. Step 6: Final answer
    x = 412,432.16

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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.