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Finding the Fourth Proportional to 415,186.20, 622,779.30 and 314,802.90

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Solution

The fourth proportional to 415,186.20, 622,779.30 and 314,802.90 is: 472,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,186.20 : 622,779.30 = 314,802.90 : x
  2. Step 2: Convert to fraction form
    415,186.20/622,779.30 = 314,802.90/x
  3. Step 3: Cross multiply
    415,186.20x = 622,779.30 × 314,802.90
  4. Step 4: Simplify right side
    415,186.20x = 196,052,729,699.97
  5. Step 5: Solve for x
    x = 196,052,729,699.97/415,186.20
  6. Step 6: Final answer
    x = 472,204.35

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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.