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Finding the Fourth Proportional to 542,857.30, 749,167.64 and 301,140.03

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Solution

The fourth proportional to 542,857.30, 749,167.64 and 301,140.03 is: 415,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,857.30 : 749,167.64 = 301,140.03 : x
  2. Step 2: Convert to fraction form
    542,857.30/749,167.64 = 301,140.03/x
  3. Step 3: Cross multiply
    542,857.30x = 749,167.64 × 301,140.03
  4. Step 4: Simplify right side
    542,857.30x = 225,604,365,584.63
  5. Step 5: Solve for x
    x = 225,604,365,584.63/542,857.30
  6. Step 6: Final answer
    x = 415,586.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.