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Finding the Fourth Proportional to 455,996.52, 684,082.62 and 189,613.80

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Solution

The fourth proportional to 455,996.52, 684,082.62 and 189,613.80 is: 284,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,996.52 : 684,082.62 = 189,613.80 : x
  2. Step 2: Convert to fraction form
    455,996.52/684,082.62 = 189,613.80/x
  3. Step 3: Cross multiply
    455,996.52x = 684,082.62 × 189,613.80
  4. Step 4: Simplify right side
    455,996.52x = 129,711,505,092.16
  5. Step 5: Solve for x
    x = 129,711,505,092.16/455,996.52
  6. Step 6: Final answer
    x = 284,457.23

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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.