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Finding the Fourth Proportional to 471,218.87, 650,507.90 and 290,086.07

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Solution

The fourth proportional to 471,218.87, 650,507.90 and 290,086.07 is: 400,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,218.87 : 650,507.90 = 290,086.07 : x
  2. Step 2: Convert to fraction form
    471,218.87/650,507.90 = 290,086.07/x
  3. Step 3: Cross multiply
    471,218.87x = 650,507.90 × 290,086.07
  4. Step 4: Simplify right side
    471,218.87x = 188,703,277,687.63
  5. Step 5: Solve for x
    x = 188,703,277,687.63/471,218.87
  6. Step 6: Final answer
    x = 400,457.81

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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.