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Finding the Fourth Proportional to 471,509.83, 650,697.77 and 290,326.30

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Solution

The fourth proportional to 471,509.83, 650,697.77 and 290,326.30 is: 400,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,509.83 : 650,697.77 = 290,326.30 : x
  2. Step 2: Convert to fraction form
    471,509.83/650,697.77 = 290,326.30/x
  3. Step 3: Cross multiply
    471,509.83x = 650,697.77 × 290,326.30
  4. Step 4: Simplify right side
    471,509.83x = 188,914,675,982.35
  5. Step 5: Solve for x
    x = 188,914,675,982.35/471,509.83
  6. Step 6: Final answer
    x = 400,659.04

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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.