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Finding the Fourth Proportional to 438,019.56, 657,100.32 and 171,635.64

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Solution

The fourth proportional to 438,019.56, 657,100.32 and 171,635.64 is: 257,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,019.56 : 657,100.32 = 171,635.64 : x
  2. Step 2: Convert to fraction form
    438,019.56/657,100.32 = 171,635.64/x
  3. Step 3: Cross multiply
    438,019.56x = 657,100.32 × 171,635.64
  4. Step 4: Simplify right side
    438,019.56x = 112,781,833,967.41
  5. Step 5: Solve for x
    x = 112,781,833,967.41/438,019.56
  6. Step 6: Final answer
    x = 257,481.27

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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.