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Finding the Fourth Proportional to 318,457.22, 477,685.82 and 81,800.12

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Solution

The fourth proportional to 318,457.22, 477,685.82 and 81,800.12 is: 122,700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,457.22 : 477,685.82 = 81,800.12 : x
  2. Step 2: Convert to fraction form
    318,457.22/477,685.82 = 81,800.12/x
  3. Step 3: Cross multiply
    318,457.22x = 477,685.82 × 81,800.12
  4. Step 4: Simplify right side
    318,457.22x = 39,074,758,797.01
  5. Step 5: Solve for x
    x = 39,074,758,797.01/318,457.22
  6. Step 6: Final answer
    x = 122,700.18

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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.