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Finding the Fourth Proportional to 321,899.70, 482,847.15 and 97,259.70

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Solution

The fourth proportional to 321,899.70, 482,847.15 and 97,259.70 is: 145,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,899.70 : 482,847.15 = 97,259.70 : x
  2. Step 2: Convert to fraction form
    321,899.70/482,847.15 = 97,259.70/x
  3. Step 3: Cross multiply
    321,899.70x = 482,847.15 × 97,259.70
  4. Step 4: Simplify right side
    321,899.70x = 46,961,568,954.86
  5. Step 5: Solve for x
    x = 46,961,568,954.86/321,899.70
  6. Step 6: Final answer
    x = 145,888.82

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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.