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Finding the Fourth Proportional to 665,638.80, 997,777.80 and 328,160.40

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Solution

The fourth proportional to 665,638.80, 997,777.80 and 328,160.40 is: 491,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,638.80 : 997,777.80 = 328,160.40 : x
  2. Step 2: Convert to fraction form
    665,638.80/997,777.80 = 328,160.40/x
  3. Step 3: Cross multiply
    665,638.80x = 997,777.80 × 328,160.40
  4. Step 4: Simplify right side
    665,638.80x = 327,431,161,959.12
  5. Step 5: Solve for x
    x = 327,431,161,959.12/665,638.80
  6. Step 6: Final answer
    x = 491,905.16

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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.