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Finding the Fourth Proportional to 420,422.00, 630,739.71 and 120,896.15

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Solution

The fourth proportional to 420,422.00, 630,739.71 and 120,896.15 is: 181,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,422.00 : 630,739.71 = 120,896.15 : x
  2. Step 2: Convert to fraction form
    420,422.00/630,739.71 = 120,896.15/x
  3. Step 3: Cross multiply
    420,422.00x = 630,739.71 × 120,896.15
  4. Step 4: Simplify right side
    420,422.00x = 76,253,999,437.42
  5. Step 5: Solve for x
    x = 76,253,999,437.42/420,422.00
  6. Step 6: Final answer
    x = 181,374.91

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1.5x scale

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.