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Finding the Fourth Proportional to 254,516.80, 381,818.40 and 77,022.40

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Solution

The fourth proportional to 254,516.80, 381,818.40 and 77,022.40 is: 115,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,516.80 : 381,818.40 = 77,022.40 : x
  2. Step 2: Convert to fraction form
    254,516.80/381,818.40 = 77,022.40/x
  3. Step 3: Cross multiply
    254,516.80x = 381,818.40 × 77,022.40
  4. Step 4: Simplify right side
    254,516.80x = 29,408,569,532.16
  5. Step 5: Solve for x
    x = 29,408,569,532.16/254,516.80
  6. Step 6: Final answer
    x = 115,546.67

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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.