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Finding the Fourth Proportional to 471,499.14, 650,682.85 and 290,315.62

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Solution

The fourth proportional to 471,499.14, 650,682.85 and 290,315.62 is: 400,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,499.14 : 650,682.85 = 290,315.62 : x
  2. Step 2: Convert to fraction form
    471,499.14/650,682.85 = 290,315.62/x
  3. Step 3: Cross multiply
    471,499.14x = 650,682.85 × 290,315.62
  4. Step 4: Simplify right side
    471,499.14x = 188,903,395,021.12
  5. Step 5: Solve for x
    x = 188,903,395,021.12/471,499.14
  6. Step 6: Final answer
    x = 400,644.20

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1.5x scale

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.