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Finding the Fourth Proportional to 471,185.40, 650,241.90 and 256,331.28

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Solution

The fourth proportional to 471,185.40, 650,241.90 and 256,331.28 is: 353,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,185.40 : 650,241.90 = 256,331.28 : x
  2. Step 2: Convert to fraction form
    471,185.40/650,241.90 = 256,331.28/x
  3. Step 3: Cross multiply
    471,185.40x = 650,241.90 × 256,331.28
  4. Step 4: Simplify right side
    471,185.40x = 166,677,338,536.63
  5. Step 5: Solve for x
    x = 166,677,338,536.63/471,185.40
  6. Step 6: Final answer
    x = 353,740.46

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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.