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Finding the Fourth Proportional to 257,854.41, 386,860.83 and 123,090.48

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Solution

The fourth proportional to 257,854.41, 386,860.83 and 123,090.48 is: 184,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.41 : 386,860.83 = 123,090.48 : x
  2. Step 2: Convert to fraction form
    257,854.41/386,860.83 = 123,090.48/x
  3. Step 3: Cross multiply
    257,854.41x = 386,860.83 × 123,090.48
  4. Step 4: Simplify right side
    257,854.41x = 47,618,885,257.90
  5. Step 5: Solve for x
    x = 47,618,885,257.90/257,854.41
  6. Step 6: Final answer
    x = 184,673.53

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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.