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Finding the Fourth Proportional to 542,765.40, 749,105.94 and 301,125.84

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Solution

The fourth proportional to 542,765.40, 749,105.94 and 301,125.84 is: 415,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,765.40 : 749,105.94 = 301,125.84 : x
  2. Step 2: Convert to fraction form
    542,765.40/749,105.94 = 301,125.84/x
  3. Step 3: Cross multiply
    542,765.40x = 749,105.94 × 301,125.84
  4. Step 4: Simplify right side
    542,765.40x = 225,575,155,431.49
  5. Step 5: Solve for x
    x = 225,575,155,431.49/542,765.40
  6. Step 6: Final answer
    x = 415,603.42

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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.