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Finding the Fourth Proportional to 318,041.82, 477,062.28 and 81,384.54

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Solution

The fourth proportional to 318,041.82, 477,062.28 and 81,384.54 is: 122,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,041.82 : 477,062.28 = 81,384.54 : x
  2. Step 2: Convert to fraction form
    318,041.82/477,062.28 = 81,384.54/x
  3. Step 3: Cross multiply
    318,041.82x = 477,062.28 × 81,384.54
  4. Step 4: Simplify right side
    318,041.82x = 38,825,494,209.15
  5. Step 5: Solve for x
    x = 38,825,494,209.15/318,041.82
  6. Step 6: Final answer
    x = 122,076.69

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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.