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Finding the Fourth Proportional to 455,992.86, 684,023.67 and 136,119.48

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Solution

The fourth proportional to 455,992.86, 684,023.67 and 136,119.48 is: 204,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,992.86 : 684,023.67 = 136,119.48 : x
  2. Step 2: Convert to fraction form
    455,992.86/684,023.67 = 136,119.48/x
  3. Step 3: Cross multiply
    455,992.86x = 684,023.67 × 136,119.48
  4. Step 4: Simplify right side
    455,992.86x = 93,108,946,268.09
  5. Step 5: Solve for x
    x = 93,108,946,268.09/455,992.86
  6. Step 6: Final answer
    x = 204,189.48

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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.