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Finding the Fourth Proportional to 318,157.10, 477,224.64 and 81,502.10

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Solution

The fourth proportional to 318,157.10, 477,224.64 and 81,502.10 is: 122,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,157.10 : 477,224.64 = 81,502.10 : x
  2. Step 2: Convert to fraction form
    318,157.10/477,224.64 = 81,502.10/x
  3. Step 3: Cross multiply
    318,157.10x = 477,224.64 × 81,502.10
  4. Step 4: Simplify right side
    318,157.10x = 38,894,810,331.74
  5. Step 5: Solve for x
    x = 38,894,810,331.74/318,157.10
  6. Step 6: Final answer
    x = 122,250.33

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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.