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Finding the Fourth Proportional to 471,463.89, 650,326.36 and 287,618.46

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Solution

The fourth proportional to 471,463.89, 650,326.36 and 287,618.46 is: 396,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,463.89 : 650,326.36 = 287,618.46 : x
  2. Step 2: Convert to fraction form
    471,463.89/650,326.36 = 287,618.46/x
  3. Step 3: Cross multiply
    471,463.89x = 650,326.36 × 287,618.46
  4. Step 4: Simplify right side
    471,463.89x = 187,045,866,160.61
  5. Step 5: Solve for x
    x = 187,045,866,160.61/471,463.89
  6. Step 6: Final answer
    x = 396,734.24

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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.