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Finding the Fourth Proportional to 415,886.40, 575,812.80 and 394,891.20

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Solution

The fourth proportional to 415,886.40, 575,812.80 and 394,891.20 is: 546,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,886.40 : 575,812.80 = 394,891.20 : x
  2. Step 2: Convert to fraction form
    415,886.40/575,812.80 = 394,891.20/x
  3. Step 3: Cross multiply
    415,886.40x = 575,812.80 × 394,891.20
  4. Step 4: Simplify right side
    415,886.40x = 227,383,407,567.36
  5. Step 5: Solve for x
    x = 227,383,407,567.36/415,886.40
  6. Step 6: Final answer
    x = 546,744.03

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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.