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Finding the Fourth Proportional to 415,126.20, 622,689.30 and 314,742.90

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Solution

The fourth proportional to 415,126.20, 622,689.30 and 314,742.90 is: 472,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,126.20 : 622,689.30 = 314,742.90 : x
  2. Step 2: Convert to fraction form
    415,126.20/622,689.30 = 314,742.90/x
  3. Step 3: Cross multiply
    415,126.20x = 622,689.30 × 314,742.90
  4. Step 4: Simplify right side
    415,126.20x = 195,987,036,080.97
  5. Step 5: Solve for x
    x = 195,987,036,080.97/415,126.20
  6. Step 6: Final answer
    x = 472,114.35

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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.