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Finding the Fourth Proportional to 318,822.40, 478,233.60 and 219,289.60

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Solution

The fourth proportional to 318,822.40, 478,233.60 and 219,289.60 is: 328,934.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,822.40 : 478,233.60 = 219,289.60 : x
  2. Step 2: Convert to fraction form
    318,822.40/478,233.60 = 219,289.60/x
  3. Step 3: Cross multiply
    318,822.40x = 478,233.60 × 219,289.60
  4. Step 4: Simplify right side
    318,822.40x = 104,871,654,850.56
  5. Step 5: Solve for x
    x = 104,871,654,850.56/318,822.40
  6. Step 6: Final answer
    x = 328,934.40

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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.