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Finding the Fourth Proportional to 270,429.30, 405,710.37 and 92,938.86

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Solution

The fourth proportional to 270,429.30, 405,710.37 and 92,938.86 is: 139,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,429.30 : 405,710.37 = 92,938.86 : x
  2. Step 2: Convert to fraction form
    270,429.30/405,710.37 = 92,938.86/x
  3. Step 3: Cross multiply
    270,429.30x = 405,710.37 × 92,938.86
  4. Step 4: Simplify right side
    270,429.30x = 37,706,259,277.98
  5. Step 5: Solve for x
    x = 37,706,259,277.98/270,429.30
  6. Step 6: Final answer
    x = 139,431.12

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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.