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Finding the Fourth Proportional to 420,651.99, 630,979.61 and 105,109.20

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Solution

The fourth proportional to 420,651.99, 630,979.61 and 105,109.20 is: 157,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,651.99 : 630,979.61 = 105,109.20 : x
  2. Step 2: Convert to fraction form
    420,651.99/630,979.61 = 105,109.20/x
  3. Step 3: Cross multiply
    420,651.99x = 630,979.61 × 105,109.20
  4. Step 4: Simplify right side
    420,651.99x = 66,321,761,497.87
  5. Step 5: Solve for x
    x = 66,321,761,497.87/420,651.99
  6. Step 6: Final answer
    x = 157,664.20

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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.