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Finding the Fourth Proportional to 257,818.55, 386,738.31 and 122,813.22

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Solution

The fourth proportional to 257,818.55, 386,738.31 and 122,813.22 is: 184,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,818.55 : 386,738.31 = 122,813.22 : x
  2. Step 2: Convert to fraction form
    257,818.55/386,738.31 = 122,813.22/x
  3. Step 3: Cross multiply
    257,818.55x = 386,738.31 × 122,813.22
  4. Step 4: Simplify right side
    257,818.55x = 47,496,577,148.46
  5. Step 5: Solve for x
    x = 47,496,577,148.46/257,818.55
  6. Step 6: Final answer
    x = 184,224.83

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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.