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Finding the Fourth Proportional to 409,852.44, 615,054.96 and 143,615.34

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Solution

The fourth proportional to 409,852.44, 615,054.96 and 143,615.34 is: 215,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,852.44 : 615,054.96 = 143,615.34 : x
  2. Step 2: Convert to fraction form
    409,852.44/615,054.96 = 143,615.34/x
  3. Step 3: Cross multiply
    409,852.44x = 615,054.96 × 143,615.34
  4. Step 4: Simplify right side
    409,852.44x = 88,331,327,199.09
  5. Step 5: Solve for x
    x = 88,331,327,199.09/409,852.44
  6. Step 6: Final answer
    x = 215,519.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.