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Finding the Fourth Proportional to 257,881.88, 386,821.06 and 140,300.54

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Solution

The fourth proportional to 257,881.88, 386,821.06 and 140,300.54 is: 210,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,881.88 : 386,821.06 = 140,300.54 : x
  2. Step 2: Convert to fraction form
    257,881.88/386,821.06 = 140,300.54/x
  3. Step 3: Cross multiply
    257,881.88x = 386,821.06 × 140,300.54
  4. Step 4: Simplify right side
    257,881.88x = 54,271,203,601.37
  5. Step 5: Solve for x
    x = 54,271,203,601.37/257,881.88
  6. Step 6: Final answer
    x = 210,449.85

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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.