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Finding the Fourth Proportional to 321,448.96, 482,167.04 and 99,832.32

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Solution

The fourth proportional to 321,448.96, 482,167.04 and 99,832.32 is: 149,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,448.96 : 482,167.04 = 99,832.32 : x
  2. Step 2: Convert to fraction form
    321,448.96/482,167.04 = 99,832.32/x
  3. Step 3: Cross multiply
    321,448.96x = 482,167.04 × 99,832.32
  4. Step 4: Simplify right side
    321,448.96x = 48,135,854,230.73
  5. Step 5: Solve for x
    x = 48,135,854,230.73/321,448.96
  6. Step 6: Final answer
    x = 149,746.49

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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.