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Finding the Fourth Proportional to 384,117.76, 530,082.16 and 214,352.80

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Solution

The fourth proportional to 384,117.76, 530,082.16 and 214,352.80 is: 295,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,117.76 : 530,082.16 = 214,352.80 : x
  2. Step 2: Convert to fraction form
    384,117.76/530,082.16 = 214,352.80/x
  3. Step 3: Cross multiply
    384,117.76x = 530,082.16 × 214,352.80
  4. Step 4: Simplify right side
    384,117.76x = 113,624,595,226.05
  5. Step 5: Solve for x
    x = 113,624,595,226.05/384,117.76
  6. Step 6: Final answer
    x = 295,806.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.