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Finding the Fourth Proportional to 578,412.72, 867,297.24 and 178,940.16

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Solution

The fourth proportional to 578,412.72, 867,297.24 and 178,940.16 is: 268,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,412.72 : 867,297.24 = 178,940.16 : x
  2. Step 2: Convert to fraction form
    578,412.72/867,297.24 = 178,940.16/x
  3. Step 3: Cross multiply
    578,412.72x = 867,297.24 × 178,940.16
  4. Step 4: Simplify right side
    578,412.72x = 155,194,306,893.16
  5. Step 5: Solve for x
    x = 155,194,306,893.16/578,412.72
  6. Step 6: Final answer
    x = 268,310.67

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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.