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Finding the Fourth Proportional to 417,691.90, 576,415.35 and 226,705.30

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Solution

The fourth proportional to 417,691.90, 576,415.35 and 226,705.30 is: 312,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,691.90 : 576,415.35 = 226,705.30 : x
  2. Step 2: Convert to fraction form
    417,691.90/576,415.35 = 226,705.30/x
  3. Step 3: Cross multiply
    417,691.90x = 576,415.35 × 226,705.30
  4. Step 4: Simplify right side
    417,691.90x = 130,676,414,846.36
  5. Step 5: Solve for x
    x = 130,676,414,846.36/417,691.90
  6. Step 6: Final answer
    x = 312,853.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.