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Finding the Fourth Proportional to 665,713.80, 997,890.30 and 328,235.40

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Solution

The fourth proportional to 665,713.80, 997,890.30 and 328,235.40 is: 492,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,713.80 : 997,890.30 = 328,235.40 : x
  2. Step 2: Convert to fraction form
    665,713.80/997,890.30 = 328,235.40/x
  3. Step 3: Cross multiply
    665,713.80x = 997,890.30 × 328,235.40
  4. Step 4: Simplify right side
    665,713.80x = 327,542,921,776.62
  5. Step 5: Solve for x
    x = 327,542,921,776.62/665,713.80
  6. Step 6: Final answer
    x = 492,017.62

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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.