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Finding the Fourth Proportional to 254,520.80, 381,824.40 and 77,026.40

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Solution

The fourth proportional to 254,520.80, 381,824.40 and 77,026.40 is: 115,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,520.80 : 381,824.40 = 77,026.40 : x
  2. Step 2: Convert to fraction form
    254,520.80/381,824.40 = 77,026.40/x
  3. Step 3: Cross multiply
    254,520.80x = 381,824.40 × 77,026.40
  4. Step 4: Simplify right side
    254,520.80x = 29,410,558,964.16
  5. Step 5: Solve for x
    x = 29,410,558,964.16/254,520.80
  6. Step 6: Final answer
    x = 115,552.67

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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.