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Finding the Fourth Proportional to 578,212.80, 867,286.80 and 178,850.40

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Solution

The fourth proportional to 578,212.80, 867,286.80 and 178,850.40 is: 268,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,212.80 : 867,286.80 = 178,850.40 : x
  2. Step 2: Convert to fraction form
    578,212.80/867,286.80 = 178,850.40/x
  3. Step 3: Cross multiply
    578,212.80x = 867,286.80 × 178,850.40
  4. Step 4: Simplify right side
    578,212.80x = 155,114,591,094.72
  5. Step 5: Solve for x
    x = 155,114,591,094.72/578,212.80
  6. Step 6: Final answer
    x = 268,265.58

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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.