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Finding the Fourth Proportional to 257,433.01, 386,213.84 and 181,679.46

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Solution

The fourth proportional to 257,433.01, 386,213.84 and 181,679.46 is: 272,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,433.01 : 386,213.84 = 181,679.46 : x
  2. Step 2: Convert to fraction form
    257,433.01/386,213.84 = 181,679.46/x
  3. Step 3: Cross multiply
    257,433.01x = 386,213.84 × 181,679.46
  4. Step 4: Simplify right side
    257,433.01x = 70,167,122,935.89
  5. Step 5: Solve for x
    x = 70,167,122,935.89/257,433.01
  6. Step 6: Final answer
    x = 272,564.59

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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.