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Finding the Fourth Proportional to 455,893.84, 684,023.04 and 189,838

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Solution

The fourth proportional to 455,893.84, 684,023.04 and 189,838 is: 284,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,893.84 : 684,023.04 = 189,838 : x
  2. Step 2: Convert to fraction form
    455,893.84/684,023.04 = 189,838/x
  3. Step 3: Cross multiply
    455,893.84x = 684,023.04 × 189,838
  4. Step 4: Simplify right side
    455,893.84x = 129,853,565,867.52
  5. Step 5: Solve for x
    x = 129,853,565,867.52/455,893.84
  6. Step 6: Final answer
    x = 284,832.90

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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.