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Finding the Fourth Proportional to 455,998.52, 684,085.62 and 189,615.80

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Solution

The fourth proportional to 455,998.52, 684,085.62 and 189,615.80 is: 284,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,998.52 : 684,085.62 = 189,615.80 : x
  2. Step 2: Convert to fraction form
    455,998.52/684,085.62 = 189,615.80/x
  3. Step 3: Cross multiply
    455,998.52x = 684,085.62 × 189,615.80
  4. Step 4: Simplify right side
    455,998.52x = 129,713,442,104.80
  5. Step 5: Solve for x
    x = 129,713,442,104.80/455,998.52
  6. Step 6: Final answer
    x = 284,460.23

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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.