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Finding the Fourth Proportional to 471,465.39, 650,328.43 and 287,619.96

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Solution

The fourth proportional to 471,465.39, 650,328.43 and 287,619.96 is: 396,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,465.39 : 650,328.43 = 287,619.96 : x
  2. Step 2: Convert to fraction form
    471,465.39/650,328.43 = 287,619.96/x
  3. Step 3: Cross multiply
    471,465.39x = 650,328.43 × 287,619.96
  4. Step 4: Simplify right side
    471,465.39x = 187,047,437,023.46
  5. Step 5: Solve for x
    x = 187,047,437,023.46/471,465.39
  6. Step 6: Final answer
    x = 396,736.31

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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.