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Finding the Fourth Proportional to 318,014.40, 477,018.24 and 81,355.20

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Solution

The fourth proportional to 318,014.40, 477,018.24 and 81,355.20 is: 122,031.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,014.40 : 477,018.24 = 81,355.20 : x
  2. Step 2: Convert to fraction form
    318,014.40/477,018.24 = 81,355.20/x
  3. Step 3: Cross multiply
    318,014.40x = 477,018.24 × 81,355.20
  4. Step 4: Simplify right side
    318,014.40x = 38,807,914,318.85
  5. Step 5: Solve for x
    x = 38,807,914,318.85/318,014.40
  6. Step 6: Final answer
    x = 122,031.94

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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.