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Finding the Fourth Proportional to 469,054.28, 647,327.26 and 285,364.51

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Solution

The fourth proportional to 469,054.28, 647,327.26 and 285,364.51 is: 393,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,054.28 : 647,327.26 = 285,364.51 : x
  2. Step 2: Convert to fraction form
    469,054.28/647,327.26 = 285,364.51/x
  3. Step 3: Cross multiply
    469,054.28x = 647,327.26 × 285,364.51
  4. Step 4: Simplify right side
    469,054.28x = 184,724,226,359.54
  5. Step 5: Solve for x
    x = 184,724,226,359.54/469,054.28
  6. Step 6: Final answer
    x = 393,822.71

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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.