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Finding the Fourth Proportional to 455,944.60, 684,305.70 and 203,613.40

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Solution

The fourth proportional to 455,944.60, 684,305.70 and 203,613.40 is: 305,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,944.60 : 684,305.70 = 203,613.40 : x
  2. Step 2: Convert to fraction form
    455,944.60/684,305.70 = 203,613.40/x
  3. Step 3: Cross multiply
    455,944.60x = 684,305.70 × 203,613.40
  4. Step 4: Simplify right side
    455,944.60x = 139,333,810,216.38
  5. Step 5: Solve for x
    x = 139,333,810,216.38/455,944.60
  6. Step 6: Final answer
    x = 305,593.73

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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.