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Finding the Fourth Proportional to 318,153.76, 477,228.08 and 78,266.48

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Solution

The fourth proportional to 318,153.76, 477,228.08 and 78,266.48 is: 117,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,153.76 : 477,228.08 = 78,266.48 : x
  2. Step 2: Convert to fraction form
    318,153.76/477,228.08 = 78,266.48/x
  3. Step 3: Cross multiply
    318,153.76x = 477,228.08 × 78,266.48
  4. Step 4: Simplify right side
    318,153.76x = 37,350,961,978.76
  5. Step 5: Solve for x
    x = 37,350,961,978.76/318,153.76
  6. Step 6: Final answer
    x = 117,399.09

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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.