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Finding the Fourth Proportional to 455,960.60, 684,329.70 and 203,629.40

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Solution

The fourth proportional to 455,960.60, 684,329.70 and 203,629.40 is: 305,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,960.60 : 684,329.70 = 203,629.40 : x
  2. Step 2: Convert to fraction form
    455,960.60/684,329.70 = 203,629.40/x
  3. Step 3: Cross multiply
    455,960.60x = 684,329.70 × 203,629.40
  4. Step 4: Simplify right side
    455,960.60x = 139,349,646,213.18
  5. Step 5: Solve for x
    x = 139,349,646,213.18/455,960.60
  6. Step 6: Final answer
    x = 305,617.74

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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.