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Finding the Fourth Proportional to 257,738.68, 386,290.74 and 122,873.80

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Solution

The fourth proportional to 257,738.68, 386,290.74 and 122,873.80 is: 184,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,738.68 : 386,290.74 = 122,873.80 : x
  2. Step 2: Convert to fraction form
    257,738.68/386,290.74 = 122,873.80/x
  3. Step 3: Cross multiply
    257,738.68x = 386,290.74 × 122,873.80
  4. Step 4: Simplify right side
    257,738.68x = 47,465,011,128.61
  5. Step 5: Solve for x
    x = 47,465,011,128.61/257,738.68
  6. Step 6: Final answer
    x = 184,159.44

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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.