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Finding the Fourth Proportional to 254,487.35, 381,749.40 and 77,008.34

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Solution

The fourth proportional to 254,487.35, 381,749.40 and 77,008.34 is: 115,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,487.35 : 381,749.40 = 77,008.34 : x
  2. Step 2: Convert to fraction form
    254,487.35/381,749.40 = 77,008.34/x
  3. Step 3: Cross multiply
    254,487.35x = 381,749.40 × 77,008.34
  4. Step 4: Simplify right side
    254,487.35x = 29,397,888,544.37
  5. Step 5: Solve for x
    x = 29,397,888,544.37/254,487.35
  6. Step 6: Final answer
    x = 115,518.07

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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.