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Finding the Fourth Proportional to 282,353.88, 389,654.64 and 155,029.98

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Solution

The fourth proportional to 282,353.88, 389,654.64 and 155,029.98 is: 213,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,353.88 : 389,654.64 = 155,029.98 : x
  2. Step 2: Convert to fraction form
    282,353.88/389,654.64 = 155,029.98/x
  3. Step 3: Cross multiply
    282,353.88x = 389,654.64 × 155,029.98
  4. Step 4: Simplify right side
    282,353.88x = 60,408,151,046.11
  5. Step 5: Solve for x
    x = 60,408,151,046.11/282,353.88
  6. Step 6: Final answer
    x = 213,944.82

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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.