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Finding the Fourth Proportional to 471,489.15, 650,669.13 and 290,305.62

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Solution

The fourth proportional to 471,489.15, 650,669.13 and 290,305.62 is: 400,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,489.15 : 650,669.13 = 290,305.62 : x
  2. Step 2: Convert to fraction form
    471,489.15/650,669.13 = 290,305.62/x
  3. Step 3: Cross multiply
    471,489.15x = 650,669.13 × 290,305.62
  4. Step 4: Simplify right side
    471,489.15x = 188,892,905,199.51
  5. Step 5: Solve for x
    x = 188,892,905,199.51/471,489.15
  6. Step 6: Final answer
    x = 400,630.44

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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.