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Finding the Fourth Proportional to 329,102.40, 493,669.80 and 171,638.40

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Solution

The fourth proportional to 329,102.40, 493,669.80 and 171,638.40 is: 257,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,102.40 : 493,669.80 = 171,638.40 : x
  2. Step 2: Convert to fraction form
    329,102.40/493,669.80 = 171,638.40/x
  3. Step 3: Cross multiply
    329,102.40x = 493,669.80 × 171,638.40
  4. Step 4: Simplify right side
    329,102.40x = 84,732,694,600.32
  5. Step 5: Solve for x
    x = 84,732,694,600.32/329,102.40
  6. Step 6: Final answer
    x = 257,466.05

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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.