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Finding the Fourth Proportional to 270,430.30, 405,711.87 and 92,939.86

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Solution

The fourth proportional to 270,430.30, 405,711.87 and 92,939.86 is: 139,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,430.30 : 405,711.87 = 92,939.86 : x
  2. Step 2: Convert to fraction form
    270,430.30/405,711.87 = 92,939.86/x
  3. Step 3: Cross multiply
    270,430.30x = 405,711.87 × 92,939.86
  4. Step 4: Simplify right side
    270,430.30x = 37,706,804,398.14
  5. Step 5: Solve for x
    x = 37,706,804,398.14/270,430.30
  6. Step 6: Final answer
    x = 139,432.62

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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.