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Finding the Fourth Proportional to 254,524.80, 381,830.40 and 77,030.40

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Solution

The fourth proportional to 254,524.80, 381,830.40 and 77,030.40 is: 115,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,524.80 : 381,830.40 = 77,030.40 : x
  2. Step 2: Convert to fraction form
    254,524.80/381,830.40 = 77,030.40/x
  3. Step 3: Cross multiply
    254,524.80x = 381,830.40 × 77,030.40
  4. Step 4: Simplify right side
    254,524.80x = 29,412,548,444.16
  5. Step 5: Solve for x
    x = 29,412,548,444.16/254,524.80
  6. Step 6: Final answer
    x = 115,558.67

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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.