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Finding the Fourth Proportional to 420,458.13, 630,793.71 and 120,932.28

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Solution

The fourth proportional to 420,458.13, 630,793.71 and 120,932.28 is: 181,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,458.13 : 630,793.71 = 120,932.28 : x
  2. Step 2: Convert to fraction form
    420,458.13/630,793.71 = 120,932.28/x
  3. Step 3: Cross multiply
    420,458.13x = 630,793.71 × 120,932.28
  4. Step 4: Simplify right side
    420,458.13x = 76,283,321,559.96
  5. Step 5: Solve for x
    x = 76,283,321,559.96/420,458.13
  6. Step 6: Final answer
    x = 181,429.06

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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.