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Finding the Fourth Proportional to 467,790.50, 645,403.52 and 286,313.24

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Solution

The fourth proportional to 467,790.50, 645,403.52 and 286,313.24 is: 395,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,790.50 : 645,403.52 = 286,313.24 : x
  2. Step 2: Convert to fraction form
    467,790.50/645,403.52 = 286,313.24/x
  3. Step 3: Cross multiply
    467,790.50x = 645,403.52 × 286,313.24
  4. Step 4: Simplify right side
    467,790.50x = 184,787,568,260.02
  5. Step 5: Solve for x
    x = 184,787,568,260.02/467,790.50
  6. Step 6: Final answer
    x = 395,022.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.